Деформационное квантование и квантовые группы. Лекция 2, Г.И.Шарыгин, А.Б.Жеглов

24.02.26 Докладчик: Misha Zaitsev (HSE) Тема: q-analogues of Mishchenko–Fomenko subalgebras and the Braided Yangian Abstract: This talk is devoted to the quantization of Mishchenko–Fomenko subalgebras in the universal enveloping algebra U(gl_n). In the first part, I will discuss the construction of subalgebras in U(gl_n) using quasi-differential operators. We will prove the commutativity of specific sets of elements within these algebras using the Yangian Y(gl_n). In the second part, I plan to discuss q-analogues of Mishchenko–Fomenko subalgebras in the Reflection Equation algebra and prove the commutativity of their elements using the Braided Yangian. Лекторы - Георгий Игоревич Шарыгин, Александр Борисович Жеглов Страница курса - https://mccme.ru/ru/nmu/courses-of-nmu/vesna-20252026/s26-sem-sharygin/ Плейлист на YouTube - https://www.youtube.com/playlist?list=PLp9ABVh6_x4HOc2v9JY66I5XgnFjdxui0 Плейлист на RuTube - https://rutube.ru/plst/1460187 Канал НМУ на RuTube - https://rutube.ru/channel/42881756/