On the conjugation action for quantum GL(n)

Description:  The algebra of polynomial functions on n by n complex matrices that are constant on conjugacy classes is the free polynomial algebra on the functions giving the coefficients of the characteristic polynomial. Here we give a similar description of the algebra of invariants C(G), for the action of the quantum general linear group G over an arbitrary field k with parameter q an arbitrary non-zero element of k. We then describe the algebra of all polynomial functions as a module for C(G) and G, giving q analogues of results of Kostant and Richardson. Date:  2022-07-13 Start Time:   14:30 Speaker:  Stephen Donkin (Univ. of York, UK) Institution:  Univ. of York, UK Place:  Room 2.4 (DMUC) Research Groups: -Algebra and Combinatorics See more:   <Main>