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Westbury, Bruce W. (2011) Web bases for the general linear groups. Journal of Algebraic Combinatorics . doi:10.1007/s10801-011-0294-4
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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: | Submitted Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of 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: | 2011 | ||||
| Dates: |
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| DOI: | 10.1007/s10801-011-0294-4 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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