Web bases for the general linear groups
Westbury, Bruce W. (2011) Web bases for the general linear groups. Journal of Algebraic Combinatorics . ISSN 0925-9899Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s10801-011-0294-4
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|
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