{"id":2650,"date":"2018-02-21T23:16:02","date_gmt":"2018-02-21T23:16:02","guid":{"rendered":"http:\/\/iaps.institute\/semisimple-lie-algebras\/"},"modified":"2018-04-14T10:38:26","modified_gmt":"2018-04-14T10:38:26","slug":"semisimple-lie-algebras","status":"publish","type":"page","link":"http:\/\/iaps.institute\/bg\/courses\/semisimple-lie-algebras\/","title":{"rendered":"\u041f\u043e\u043b\u0443\u043f\u0440\u043e\u0441\u0442\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041b\u0438 \u0438 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f"},"content":{"rendered":"<p><span style=\"text-decoration: underline;\">\u041b\u0435\u043a\u0442\u043e\u0440<\/span>: \u041f\u0440\u043e\u0444. \u0412\u043b\u0430\u0434\u0438\u043c\u0438\u0440 \u0413\u0435\u0440\u0434\u0436\u0438\u043a\u043e\u0432<img decoding=\"async\" loading=\"lazy\" class=\"wp-image-2704 alignleft\" src=\"https:\/\/i0.wp.com\/iaps.institute\/wp-content\/uploads\/2018\/02\/plakat-bg1.png?resize=345%2C460\" alt=\"\" width=\"345\" height=\"460\" srcset=\"https:\/\/i0.wp.com\/iaps.institute\/wp-content\/uploads\/2018\/02\/plakat-bg1.png?resize=225%2C300 225w, https:\/\/i0.wp.com\/iaps.institute\/wp-content\/uploads\/2018\/02\/plakat-bg1.png?w=768 768w\" sizes=\"(max-width: 345px) 100vw, 345px\" data-recalc-dims=\"1\" \/><\/p>\n<p><span style=\"text-decoration: underline;\">\u0410\u043d\u043e\u0442\u0430\u0446\u0438\u044f<\/span>: \u0417\u0430\u0434\u0430\u0447\u0430\u0442\u0430 \u043d\u0430 \u043a\u0443\u0440\u0441\u0430 \u0435 \u0434\u0430 \u0438\u0437\u043b\u043e\u0436\u0438 \u0442\u0435\u043e\u0440\u0438\u044f\u0442\u0430 \u043d\u0430 \u043f\u043e\u043b\u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041b\u0438. \u041f\u0440\u0435\u043c\u0438\u043d\u0430\u043b\u0438\u0442\u0435 \u0443\u0441\u043f\u0435\u0448\u043d\u043e \u043a\u0443\u0440\u0441\u0430 \u0449\u0435 \u043c\u043e\u0433\u0430\u0442 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e \u0434\u0430 \u0440\u0430\u0431\u043e\u0442\u044f\u0442 \u0441 \u0431\u0430\u0437\u0438\u0441\u0438\u0442\u0435 \u043d\u0430 \u041a\u0430\u0440\u0442\u0430\u043d-\u0412\u0430\u0439\u043b, \u043a\u0430\u043a\u0442\u043e \u0438 \u0449\u0435 \u0443\u0441\u0432\u043e\u044f\u0442 \u043e\u0441\u043d\u043e\u0432\u043d\u0438 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u043a\u0430\u0442\u043e \u043a\u043e\u0440\u043d\u0435\u0432\u0438 \u0438 \u0442\u0435\u0433\u043b\u043e\u0432\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0438, \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435 \u043d\u0430 \u043a\u0440\u0430\u0439\u043d\u043e\u043c\u0435\u0440\u043d\u0438\u0442\u0435 \u043d\u0435\u043f\u0440\u0438\u0432\u043e\u0434\u0438\u043c\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044f\u043d\u0438\u044f. \u0421\u043b\u0435\u0434\u0432\u0430\u0449\u0430\u0442\u0430 \u0446\u0435\u043b \u0435 \u043f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435\u0442\u043e \u043d\u0430 \u0433\u0440\u0430\u0434\u0443\u0438\u0440\u0430\u043d\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041b\u0438 \u0438 \u0441\u0432\u044a\u0440\u0437\u0430\u043d\u0438\u0442\u0435 \u0441 \u0442\u044f\u0445 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041a\u0430\u0446-\u041c\u0443\u0434\u0438. \u0422\u0435\u0437\u0438 \u0437\u043d\u0430\u043d\u0438\u044f \u0441\u0430 \u043e\u0441\u043d\u043e\u0432\u043d\u0438 \u0432 \u0440\u0435\u0434\u0438\u0446\u0430 \u0440\u0430\u0437\u0434\u0435\u043b\u0438 \u043d\u0430 \u0441\u044a\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u0442\u0430 \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u043d\u0430 \u0444\u0438\u0437\u0438\u043a\u0430. \u041d\u0430 \u0442\u044f\u0445 \u0441\u0435 \u0431\u0430\u0437\u0438\u0440\u0430\u0442 \u0441\u044a\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u0438\u0442\u0435 \u043f\u043e\u0434\u0445\u043e\u0434\u0438 \u043a\u044a\u043c \u0431\u0435\u0437\u043a\u0440\u0430\u0439\u043d\u043e\u043c\u0435\u0440\u043d\u0438\u0442\u0435 \u043d\u0430\u043f\u044a\u043b\u043d\u043e \u0438\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u0443\u0435\u043c\u0438 \u0425\u0430\u043c\u0438\u043b\u0442\u043e\u043d\u043e\u0432\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0438, \u043a\u044a\u043c \u0440\u0435\u0434\u0438\u0446\u0430 \u0430\u043a\u0442\u0443\u0430\u043b\u043d\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u043d\u0430 \u043a\u0432\u0430\u043d\u0442\u043e\u0432\u0430\u0442\u0430 \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0430 \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u0442\u0430 \u0444\u0438\u0437\u0438\u043a\u0430 \u0438 \u0434\u0440.<\/p>\n<p>\u0422\u0435\u043c\u0438\u0442\u0435 \u043d\u0430 \u043a\u0443\u0440\u0441\u0430 \u0441\u0430 \u0432 <a href=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/03\/Lie-alg.doc\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\">\u043f\u0440\u0438\u043a\u0430\u0447\u0435\u043d\u0438\u044f \u0444\u0430\u0439\u043b<\/span><\/a>.<\/p>\n<p><span style=\"font-size: 10px;\">*\u041a\u0443\u0440\u0441\u044a\u0442 \u0435 \u043e\u0434\u043e\u0431\u0440\u0435\u043d \u043e\u0442 \u0426\u0435\u043d\u0442\u044a\u0440\u0430 \u0437\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u043d\u0430 \u0411\u0410\u041d.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"text-decoration: underline;\">\u041c\u044f\u0441\u0442\u043e \u0438 \u0432\u0440\u0435\u043c\u0435<\/span>: \u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \/\u0411\u0410\u041d\/, \u0437\u0430\u043b\u0430 478.<\/p>\n<p>\u041f\u044a\u0440\u0432\u0430\u0442\u0430 \u043b\u0435\u043a\u0446\u0438\u044f \u0449\u0435 \u0435 \u043d\u0430 9-\u0442\u0438 \u043c\u0430\u0440\u0442 \/\u043f\u0435\u0442\u044a\u043a\/ \u043e\u0442 16:00 \u0447\u0430\u0441\u0430, <a href=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/03\/LEC_012.pdf\"><span style=\"text-decoration: underline;\">pdf;<\/span><\/a><\/p>\n<p>\u0412\u0442\u043e\u0440\u0430\u0442\u0430 \u043b\u0435\u043a\u0446\u0438\u044f \u0449\u0435 \u0435 \u043d\u0430 16-\u0442\u0438 \u043c\u0430\u0440\u0442 \/\u043f\u0435\u0442\u044a\u043a\/ \u043e\u0442 16:30 \u0447\u0430\u0441\u0430, <span style=\"text-decoration: underline;\"><a href=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/03\/Lec-023.pdf\">pdf;<\/a><\/span><\/p>\n<p>\u0422\u0440\u0435\u0442\u0430\u0442\u0430 \u043b\u0435\u043a\u0446\u0438\u044f \u0449\u0435 \u0435 \u043d\u0430 23-\u0442\u0438 \u043c\u0430\u0440\u0442 \/\u043f\u0435\u0442\u044a\u043a\/ \u043e\u0442 16:30 \u0447\u0430\u0441\u0430, <a href=\"https:\/\/www.youtube.com\/watch?v=hZ926Zdj8Zw&amp;t=8617s&amp;index=6&amp;list=PLs8fNBCecg7_857oGHEC-Rk0hhPvX_su3\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\">\u0432\u0438\u0434\u0435\u043e<\/span><\/a>;<\/p>\n<p>\u0427\u0435\u0442\u0432\u044a\u0440\u0442\u0430\u0442\u0430 \u043b\u0435\u043a\u0446\u0438\u044f \u0449\u0435 \u0435 \u043d\u0430 13-\u0442\u0438 \u0430\u043f\u0440\u0438\u043b \/\u043f\u0435\u0442\u044a\u043a\/ \u043e\u0442 16:30 \u0447\u0430\u0441\u0430, <a href=\"https:\/\/www.youtube.com\/watch?v=2VhYLKHlUA4&amp;list=PLs8fNBCecg7_857oGHEC-Rk0hhPvX_su3&amp;index=7&amp;t=610s\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\">\u0432\u0438\u0434\u0435\u043e<\/span><\/a>;<\/p>\n<p><strong>\u041f\u0435\u0442\u0430\u0442\u0430 \u043b\u0435\u043a\u0446\u0438\u044f \u0449\u0435 \u0435 \u043d\u0430 27-\u043c\u0438 \u0430\u043f\u0440\u0438\u043b \/\u043f\u0435\u0442\u044a\u043a\/ \u043e\u0442 16:30 \u0447\u0430\u0441\u0430.<\/strong><\/p>\n<p><span style=\"text-decoration: underline;\"><a href=\"http:\/\/quanterall.com\/\" target=\"_blank\" rel=\"noopener\">Quanterall<\/a><\/span> \u0438 <span style=\"text-decoration: underline;\"><a href=\"http:\/\/abvsoft.bg\/\" target=\"_blank\" rel=\"noopener\">\u0410\u0411\u0412 \u0421\u043e\u0444\u0442<\/a><\/span> &#8211; \u0441\u043f\u043e\u043d\u0441\u043e\u0440\u0438 \u043d\u0430\u00a0 \u043a\u0443\u0440\u0441\u043e\u0432\u0435\u0442\u0435 \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u043d\u0430 \u0444\u0438\u0437\u0438\u043a\u0430.<\/p>\n<p><strong>\u0417\u0430\u043f\u0438\u0441\u0432\u0430\u043d\u0435 \u043d\u0430 <a href=\"mailto:vgerdjikov@gmail.com\" target=\"_blank\" rel=\"noopener\">vgerdjikov@gmail.com.<\/a><\/strong><\/p>\n<p><strong><span style=\"color: red;\">\u041f\u0420\u042f\u041a\u041e \u0418\u0417\u041b\u042a\u0427\u0412\u0410\u041d\u0415<\/span><\/strong> \u043d\u0430 \u043b\u0435\u043a\u0446\u0438\u0438\u0442\u0435 \u0435 \u043f\u043b\u0430\u043d\u0438\u0440\u0430\u043d\u043e \u043d\u0430 <span style=\"text-decoration: underline;\"><a href=\"https:\/\/www.youtube.com\/channel\/UCOSRJ3PKAr9P9RXVWnip6Jw\" target=\"_blank\" rel=\"noopener\">YouTube \u043a\u0430\u043d\u0430\u043b\u0430 \u043d\u0430 \u0418\u0421\u0424\u0418<\/a><\/span>.<\/p>\n<p><span style=\"text-decoration: underline;\">\u041f\u0440\u0435\u043f\u043e\u0440\u044a\u0447\u0430\u043d\u0430 \u043b\u0438\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430<\/span>:<\/p>\n<p style=\"text-align: left;\">1. S. Helgason. Differential geometry, Lie groups and symmetric spaces. Academic Press, 1978.<br \/>\n2. M. Goto, F. Grosshans. Semisimple Lie algebras, Lecture Notes in Pure and Applied Mathematics vol 38 (M. Dekker Inc., New York and Basel 1978).<br \/>\n3. A.O. Barut and R. Raczka. Theory of Group Representations and Applications. (World Scientific, Singapore 1986).<br \/>\n4. \u041d. \u0411\u0443\u0440\u0431\u0430\u043a\u0438. \u0413\u0440\u0443\u043f\u043f\u044b \u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u044b \u041b\u0438, \u0433\u043b\u0430\u0432\u044b 4-6, (\u041c\u0438\u0440, \u041c\u043e\u0441\u043a\u0432\u0430, 1972).<br \/>\n5. \u041d. \u0411\u0443\u0440\u0431\u0430\u043a\u0438. \u0413\u0440\u0443\u043f\u043f\u044b \u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u044b \u041b\u0438, \u0433\u043b\u0430\u0432\u044b 7-8, (\u041c\u0438\u0440, \u041c\u043e\u0441\u043a\u0432\u0430, 1978).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041b\u0435\u043a\u0442\u043e\u0440: \u041f\u0440\u043e\u0444. \u0412\u043b\u0430\u0434\u0438\u043c\u0438\u0440 \u0413\u0435\u0440\u0434\u0436\u0438\u043a\u043e\u0432 \u0410\u043d\u043e\u0442\u0430\u0446\u0438\u044f: \u0417\u0430\u0434\u0430\u0447\u0430\u0442\u0430 \u043d\u0430 \u043a\u0443\u0440\u0441\u0430 \u0435 \u0434\u0430 \u0438\u0437\u043b\u043e\u0436\u0438 \u0442\u0435\u043e\u0440\u0438\u044f\u0442\u0430 \u043d\u0430 \u043f\u043e\u043b\u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041b\u0438. \u041f\u0440\u0435\u043c\u0438\u043d\u0430\u043b\u0438\u0442\u0435 \u0443\u0441\u043f\u0435\u0448\u043d\u043e \u043a\u0443\u0440\u0441\u0430 \u0449\u0435 \u043c\u043e\u0433\u0430\u0442 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e \u0434\u0430 \u0440\u0430\u0431\u043e\u0442\u044f\u0442 \u0441 \u0431\u0430\u0437\u0438\u0441\u0438\u0442\u0435 \u043d\u0430 \u041a\u0430\u0440\u0442\u0430\u043d-\u0412\u0430\u0439\u043b, \u043a\u0430\u043a\u0442\u043e \u0438 \u0449\u0435 \u0443\u0441\u0432\u043e\u044f\u0442 \u043e\u0441\u043d\u043e\u0432\u043d\u0438 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u043a\u0430\u0442\u043e \u043a\u043e\u0440\u043d\u0435\u0432\u0438 \u0438 \u0442\u0435\u0433\u043b\u043e\u0432\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0438, \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435 \u043d\u0430 \u043a\u0440\u0430\u0439\u043d\u043e\u043c\u0435\u0440\u043d\u0438\u0442\u0435 \u043d\u0435\u043f\u0440\u0438\u0432\u043e\u0434\u0438\u043c\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044f\u043d\u0438\u044f. \u0421\u043b\u0435\u0434\u0432\u0430\u0449\u0430\u0442\u0430 \u0446\u0435\u043b \u0435 \u043f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435\u0442\u043e \u043d\u0430 \u0433\u0440\u0430\u0434\u0443\u0438\u0440\u0430\u043d\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2698,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<strong><img class=\"wp-image-2689 alignleft\" src=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/02\/plakat-en-2-225x300.png\" alt=\"\" width=\"359\" height=\"479\"><span style=\"text-decoration: underline;\">Lecturer<\/span><\/strong>: Prof. Vladimir S. Gerdjikov\n\n<strong><span style=\"text-decoration: underline;\">Annotation<\/span><\/strong>: This doctoral level lecture course is intended to audience interested in theoretical physics and mathematics. Its purpose is to introduce the theory of semisimple Lie algebras so that the student could master their Cartan-Weyl basis, as well as to become familiar with important basic structures such as the root and weight systems, which are needed for constructing finite-dimensional irreducible representations. The final goal is the construction of the graded Lie algebras and the related Kac-Moody algebras. These are basic tools in contemporary theoretical and mathematical physics. They are fundamental tools for the infinite-dimensional completely integrable Hamiltonian systems and to a number of problems in quantum mechanics, statistical physics and others.\n\nCourse topics are found in <span style=\"text-decoration: underline;\"><a href=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/03\/Lie-alg.doc\" target=\"_blank\" rel=\"noopener\">this file<\/a><\/span>.\n\n<strong><span style=\"text-decoration: underline;\">Place and time<\/span><\/strong>: Institute of Mathematics and Informatics (BAS), hall 478.\n\n<span style=\"text-decoration: underline;\"><strong>Schedule<\/strong><\/span>:\n\nFirst lecture - March 9th (Friday), 16:00, <a href=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/03\/LEC_012.pdf\"><span style=\"text-decoration: underline;\">pdf<\/span><\/a>;\n\nSecond lecture - March 16th (Friday), 16:30, <a href=\"http:\/\/iaps.institute\/wp-content\/uploads\/2018\/03\/Lec-023.pdf\"><span style=\"text-decoration: underline;\">pdf<\/span><\/a>;\n\nThird lecture - March 23rd (Friday), 16:30, <span style=\"text-decoration: underline;\"><a href=\"https:\/\/www.youtube.com\/watch?v=hZ926Zdj8Zw\" target=\"_blank\" rel=\"noopener\">video<\/a><\/span>;\n\nFourth lecture - April 13th (Friday), 16:30, <a href=\"https:\/\/www.youtube.com\/watch?v=2VhYLKHlUA4&amp;list=PLs8fNBCecg7_857oGHEC-Rk0hhPvX_su3&amp;index=7&amp;t=610s\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\">video<\/span><\/a><strong>;<\/strong>\n\nFifth lecture - May 4h (Friday), 16:30, <a href=\"https:\/\/www.youtube.com\/watch?v=sXtmMvMytgI\">video<\/a>;\n\nSixth lecture - May 18th (May), 16:30, video;\n\nSeventh lecture -&nbsp; June 1st (Friday), 16:30, video;\n\n<strong>Eight lecture - June 8th (Friday), 17:00, video;<\/strong>\n\n&nbsp;\n\n<span style=\"text-decoration: underline;\"><a href=\"http:\/\/quanterall.com\/\" target=\"_blank\" rel=\"noopener\">Quanterall<\/a><\/span> and <span style=\"text-decoration: underline;\"><a href=\"http:\/\/abvsoft.bg\/\" target=\"_blank\" rel=\"noopener\">ABV Soft<\/a><\/span> - presenting sponsors of IAPS lecture series in theoretical physics.\n\n<strong><span style=\"color: red;\"> LIVE STREAMING<\/span><\/strong> of the lectures is planned on the <span style=\"text-decoration: underline;\"><a href=\"https:\/\/www.youtube.com\/channel\/UCOSRJ3PKAr9P9RXVWnip6Jw\" target=\"_blank\" rel=\"noopener\">IAPS YouTube channel<\/a><\/span>.\n\n<strong><span style=\"text-decoration: underline;\">Referenced books<\/span><\/strong>:\n<p style=\"text-align: left;\">1. S. Helgason. Differential geometry, Lie groups and symmetric spaces. Academic Press, 1978.\n2. M. Goto, F. Grosshans. Semisimple Lie algebras, Lecture Notes in Pure and Applied Mathematics vol 38 (M. Dekker Inc., New York and Basel 1978).\n3. A.O. Barut and R. Raczka. Theory of Group Representations and Applications. (World Scientific, Singapore 1986).\n4. \u041d. \u0411\u0443\u0440\u0431\u0430\u043a\u0438. \u0413\u0440\u0443\u043f\u043f\u044b \u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u044b \u041b\u0438, \u0433\u043b\u0430\u0432\u044b 4-6, (\u041c\u0438\u0440, \u041c\u043e\u0441\u043a\u0432\u0430, 1972).\n5. \u041d. \u0411\u0443\u0440\u0431\u0430\u043a\u0438. \u0413\u0440\u0443\u043f\u043f\u044b \u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u044b \u041b\u0438, \u0433\u043b\u0430\u0432\u044b 7-8, (\u041c\u0438\u0440, \u041c\u043e\u0441\u043a\u0432\u0430, 1978).<\/p>","_et_gb_content_width":"","spay_email":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041f\u043e\u043b\u0443\u043f\u0440\u043e\u0441\u0442\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041b\u0438 - \u043a\u0443\u0440\u0441\u043e\u0432\u0435 \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u043d\u0430 \u0444\u0438\u0437\u0438\u043a\u0430 \u043d\u0430 \u0418\u0421\u0424\u0418<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/iaps.institute\/bg\/courses\/semisimple-lie-algebras\/\" \/>\n<meta property=\"og:locale\" content=\"bg_BG\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u043e\u043b\u0443\u043f\u0440\u043e\u0441\u0442\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0438 \u043d\u0430 \u041b\u0438 - 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