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arXiv:0806.4045 [math.RT]AbstractReferencesReviewsResources

Invariant tensors and cellular categories

Bruce W. Westbury

Published 2008-06-25Version 1

Let U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let W be the tensor product of a finite list of highest weight representations of U. Then the centraliser algebra of W has a basis called the dual canonical basis which gives an integral form. We show that this integral form is cellular by using results due to Lusztig.

Comments: 6 pages; to appear in Journal of Algebra
Journal: Journal of Algebra Volume 321, Issue 11, 1 June 2009, Pages 3563-3567
Categories: math.RT, math.QA
Subjects: 20G42
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