Finite dimensional algebras and quantum groups
- A+
：Jie Du (The University of New South Wales)
： 2025-05-23 09:00
：Conference Room S206 at Experiment Building at Haiyun Campus
Speaker：Jie Du (The University of New South Wales)
Time：2025-5-23 9:00
Location：Conference Room S206 at Experiment Building at Haiyun Campus
Abstract:
Using a geometric setting of q-Schur algebras, Beilinson-Lusztig-MacPherson discovered a new basis for quantum gl_n (i.e., the quantum enveloping algebra Uq(gl_n) of the Lie algebra gl_n) and its associated matrix representation of the regular module of Uq(gl_n). This beautiful work shows that the structure of the quantum linear group is hidden in the structure of Hecke algebras. The work has been generalized (either geometrically or algebraically) to quantum affine gl_n, quantum super gl_{m|n}, and recently, to some i-quantum groups of type AIII. (All were good PhD projects.) In this talk, I will report on a completion of the work for a new construction of the quantum queer supergroup using Hecke-Clifford superalgebras and their associated q-Schur superalgberas.
