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