Invariant tensors and cellular categories

Details Invariant tensors and cellular categories Invariant tensors and cellular categories

2008-06-25

arxiv.org/abs/0806.4045v1

Journal of Algebra Volume 321, Issue 11, 1 June 2009, Pages 3563-3567

Mathematics

Representation Theory

6 pages; to appear in Journal of Algebra

Scientific paper

10.1016/j.jalgebra.2008.07.004

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.

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