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Invariant tensors and cellular categories

By Bruce W. Westbury

Abstract

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 End(U) (W) has a basis called the dual canonical basis and this gives an integral form for End(U) (W). We show that this integral form is cellular by using results due to Lusztig. (C) 2008 Elsevier Inc. All rights reserved

Topics: QA
Publisher: Academic Press Inc Elsevier Science
Year: 2009
DOI identifier: 10.1016/j.jalgebra.2008.07.004
OAI identifier: oai:wrap.warwick.ac.uk:27980
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