q-Schur algebras and quantized enveloping algebras

The main aim of this thesis is to investigate the relationship between the quantized enveloping algebra U(gln) (corresponding to the Lie algebra gln) and the q-Schur algebra, Sq(n, r). It was shown in [BLM] that there is a surjective algebra homomorphism θr : (gln)→Z[v, v -1] ⓍSq(n,r), where q = v2....

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Bibliographic Details
Main Author: Green, Richard Mutegeki
Published: University of Warwick 1995
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.309897