English

A super Littlewood--Richardson type rule

Combinatorics 2025-03-05 v2 Category Theory Representation Theory

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.

Keywords

Cite

@article{arxiv.2112.09633,
  title  = {A super Littlewood--Richardson type rule},
  author = {Nohra Hage},
  journal= {arXiv preprint arXiv:2112.09633},
  year   = {2025}
}