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Title: A basis for the G Ln tensor product algebra
Authors: Howe, R.E.
Tan, E.-C. 
Willenbring, J.F.
Keywords: Berenstein-Zelevinsky diagrams
Littlewood-Richardson coefficients
Reciprocity algebra
Skew tableau
Tensor product algebra
Issue Date: 1-Oct-2005
Citation: Howe, R.E., Tan, E.-C., Willenbring, J.F. (2005-10-01). A basis for the G Ln tensor product algebra. Advances in Mathematics 196 (2) : 531-564. ScholarBank@NUS Repository.
Abstract: This paper focuses on the G Ln tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary irreducible representations of G Ln. We will describe an explicit basis for this algebra. This construction relates directly with the combinatorial description of Littlewood-Richardson coefficients in terms of Littlewood-Richardson tableaux. Philosophically, one may view this construction as a recasting of the Littlewood-Richardson rule in the context of classical invariant theory. © 2004 Elsevier Inc. All rights reserved.
Source Title: Advances in Mathematics
ISSN: 00018708
DOI: 10.1016/j.aim.2004.09.007
Appears in Collections:Staff Publications

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