Equivariant Littlewood-Richardson skew tableaux

Kreiman, Victor

doi:10.1090/S0002-9947-09-04862-4

Equivariant Littlewood-Richardson skew tableaux
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by Victor Kreiman

Trans. Amer. Math. Soc. 362 (2010), 2589-2617

DOI: https://doi.org/10.1090/S0002-9947-09-04862-4

Published electronically: December 18, 2009

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Abstract:

We give a positive equivariant Littlewood-Richardson rule also discovered independently by Molev. Our proof generalizes a proof by Stembridge of the classical Littlewood-Richardson rule. We describe a weight-preserving bijection between our indexing tableaux and trapezoid puzzles which restricts to a bijection between positive indexing tableaux and Knutson-Tao puzzles.

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