Article ID Journal Published Year Pages File Type
4587482 Journal of Algebra 2009 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory