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Invariant tensors and cellular categories
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Westbury, Bruce W. (2009) Invariant tensors and cellular categories. In: Conference held in honor of Gus Lehrer on the Occasion of his 60th Birthday, Univ Sydney, Sydney, Australia, July 09-13, 2007. Published in: Journal of Algebra, Vol.321 (No.11 Sp. Iss. SI). pp. 3563-3567. doi:10.1016/j.jalgebra.2008.07.004 ISSN 0021-8693.
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2008.07.004
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.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Algebra | ||||
Publisher: | Academic Press Inc Elsevier Science | ||||
ISSN: | 0021-8693 | ||||
Official Date: | 1 June 2009 | ||||
Dates: |
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Volume: | Vol.321 | ||||
Number: | No.11 Sp. Iss. SI | ||||
Number of Pages: | 5 | ||||
Page Range: | pp. 3563-3567 | ||||
DOI: | 10.1016/j.jalgebra.2008.07.004 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | Conference held in honor of Gus Lehrer on the Occasion of his 60th Birthday | ||||
Type of Event: | Conference | ||||
Location of Event: | Univ Sydney, Sydney, Australia | ||||
Date(s) of Event: | July 09-13, 2007 |
Data sourced from Thomson Reuters' Web of Knowledge
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