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A super Littlewood--Richardson type rule

Published 17 Dec 2021 in math.CO, math.CT, and math.RT | (2112.09633v2)

Abstract: We introduce a super version of the Littlewood--Richardson rule for super Schur functions over signed alphabets. We give in particular combinatorial interpretations of the super Littlewood--Richardson coefficients using the properties of super Young tableaux, which have found rich applications in representation theory, algebraic combinatorics, and mathematical physics.

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