Invariant tensors and cellular categories
Representation Theory
2011-04-11 v1 Quantum Algebra
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 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.
Cite
@article{arxiv.0806.4045,
title = {Invariant tensors and cellular categories},
author = {Bruce W. Westbury},
journal= {arXiv preprint arXiv:0806.4045},
year = {2011}
}
Comments
6 pages; to appear in Journal of Algebra