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Westbury, Bruce W. (2012) Web bases for the general linear groups. Journal of Algebraic Combinatorics, 35 . pp. 93-107. doi:10.1007/s10801-011-0294-4 ISSN 0925-9899.
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Official URL: http://dx.doi.org/10.1007/s10801-011-0294-4
Abstract
Let V be the representation of the quantized enveloping algebra of which is the q-analogue of the vector representation and let V ∗ be the dual representation. We construct a basis for r(VV) with favorable properties similar to those of Lusztig’s dual canonical basis. In particular our basis is invariant under the bar involution and contains a basis for the subspace of invariant tensors.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Representations of groups, Algebras, Linear, Tensor products | ||||||
Journal or Publication Title: | Journal of Algebraic Combinatorics | ||||||
Publisher: | Springer New York LLC | ||||||
ISSN: | 0925-9899 | ||||||
Official Date: | February 2012 | ||||||
Dates: |
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Volume: | 35 | ||||||
Page Range: | pp. 93-107 | ||||||
DOI: | 10.1007/s10801-011-0294-4 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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