Spin Kostka polynomials
Jinkui Wan, Weiqiang Wang
TL;DR
This paper introduces spin Kostka polynomials, a new variant with properties similar to classical Kostka polynomials, and explores their connections to representation theory.
Contribution
It defines spin Kostka polynomials and demonstrates their analogous properties and links to representation theory, expanding the classical theory.
Findings
Spin Kostka polynomials share properties with classical Kostka polynomials.
Established connections between spin Kostka polynomials and representation theory.
Provided foundational framework for further study of spin Kostka polynomials.
Abstract
We introduce a spin analogue of Kostka polynomials and show that these polynomials enjoy favorable properties parallel to the Kostka polynomials. Further connections of spin Kostka polynomials with representation theory are established.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry