q -Schur Algebras as Quotients of Quantized Enveloping Algebras

Author: Green, R.M.1

Source: Journal of Algebra, Volume 185, Number 3, 1 November 1996 , pp. 660-687(28)

Publisher: Academic Press

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Abstract:

We study the properties of the surjective homomorphism, defined by Beilinson, Lusztig, and MacPherson, from the quantized enveloping algebra of gl n to the q -Schur algebra, S q ( n , r ). In particular, we find an expression for the preimage of an arbitrary element of S q ( n , r ) under this map and a basis for the kernel.

Document Type: Research article

Affiliations: 1: Mathematical Institute, Oxford University, Oxford, OX1 3LB, England

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