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https://doi.org/10.1016/j.aim.2004.09.007
| 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. https://doi.org/10.1016/j.aim.2004.09.007 | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/102604 | ISSN: | 00018708 | DOI: | 10.1016/j.aim.2004.09.007 |
| Appears in Collections: | Staff Publications |
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