Boundary q-characters
of finite-dimensional representations
of quantum affine symmetric pairs
报告专家：李建荣 研究员 （维也纳大学）
报告时间：10月16日（周四）16:00-17:00
报告地点：四川大学数学学院东409报告厅
报告摘要：
Frenkel and Reshetikhin introduced q-characters for finite-dimensional representations of quantum affine algebras, providing a fundamental tool in their representation theory. Boundary q-characters for finite dimensional representations of quantum affine symmetric pairs of split types were introduced and developed by Tomasz Przezdziecki and myself. In this talk, I will present a new joint work Tomasz Przezdziecki on evaluation modules for split quantum affine symmetric pairs. By computing the action of generators in Lu and Wang’s Drinfeld-type presentation on Gelfand–Tsetlin bases, we determine the spectrum of a large commutative subalgebra arising from this presentation. This leads to an explicit formula for boundary analogues of q-characters, which we interpret combinatorially in terms of semistandard Young tableaux. Our results show that boundary q-characters share familiar features with ordinary q-characters—such as a version of the highest weight property—while also exhibiting new phenomena, including an additional symmetry.
专家简介：
李建荣，博士毕业于兰州大学，现为维也纳大学研究员（PI），研究方向为表示论，主要从事量子仿射代数、丛代数和数学物理等相关问题的研究，相关结果发表在JHEP, LMP,J Algebra, Math Zeit. Sel. Math等著名杂志上。
邀请人：付昌建
