q -Schur Algebras as Quotients of Quantized Enveloping Algebras

In this: publication
By this: publisher
In this Subject: <a title="Mathematics and Statistics" href="/content/subcat?j_subject=195&j_availability=">Mathematics and Statistics
By this author: Green, R.M.

Author: Green, R.M.

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

Buy & download fulltext article:

The full text article is not available.

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

Publication date: 1996-11-01