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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A Super Littlewood–Richardson Type Rule

  • Nohra Hage

摘要

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.