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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.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Stephen Donkin (Univ. of York, UK)
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Institution: |
Univ. of York, UK
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Place: |
Room 2.4 (DMUC)
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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<Main>
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