Westbury, Bruce W. (2011) Web bases for the general linear groups. Journal of Algebraic Combinatorics . ISSN 0925-9899

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Abstract

Let V be the representation of the quantized enveloping algebra of which is the q-analogue of the vector representation and let V ∗ be the dual representation. We construct a basis for r(VV) with favorable properties similar to those of Lusztig’s dual canonical basis. In particular our basis is invariant under the bar involution and contains a basis for the subspace of invariant tensors.

Item Type:	Submitted Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Representations of groups, Algebras, Linear, Tensor products
Journal or Publication Title:	Journal of Algebraic Combinatorics
Publisher:	Springer New York LLC
ISSN:	0925-9899
Official Date:	2011
Identification Number:	10.1007/s10801-011-0294-4
Status:	Peer Reviewed
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/39056

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