A super Littlewood--Richardson type rule
Nohra Hage
TL;DR
This paper introduces a super version of the Littlewood--Richardson rule, providing combinatorial interpretations for super Littlewood--Richardson coefficients using super Young tableaux, with implications in various mathematical fields.
Contribution
It presents a novel super Littlewood--Richardson rule and combinatorial interpretation for super Schur functions over signed alphabets.
Findings
Defined super Littlewood--Richardson coefficients
Provided combinatorial models using super Young tableaux
Connected to applications in representation theory and physics
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications