Multiplicity-free skew Schur polynomials
Shiliang Gao, Reuven Hodges, Gidon Orelowitz
TL;DR
This paper offers a combinatorial classification of multiplicity-free skew Schur polynomials, extending previous classifications of skew Schur functions, and relates to characters of certain algebraic modules.
Contribution
It provides the first non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials, expanding the understanding of their structure.
Findings
Classifies multiplicity-free skew Schur polynomials combinatorially
Extends previous work on skew Schur functions
Connects to characters of $GL_n$ and $SL_n$ modules
Abstract
We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are , and , characters of the skew Schur modules. Our result extends work of H. Thomas--A. Yong, and C. Gutschwager, in which they classify the multiplicity-free skew Schur functions.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Algebra and Geometry