Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587482 | Journal of Algebra | 2009 | 5 Pages |
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 EndU(W) has a basis called the dual canonical basis and this gives an integral form for EndU(W). We show that this integral form is cellular by using results due to Lusztig.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory