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Character expansions and affine Jacobi-Trudi identities

Ilse Fischer, Moritz Gangl, Álvaro Gutiérrez and Kumari Nishu

Published
Source
OpenAlex
Published in
arXiv (Cornell University)
DOI
10.48550/arxiv.2610.08500
Original
Read it at the publisher
Topics
CombinatoricsGeometric TopologyNumber Theory

Abstract

We provide character expansions of certain specialisations of multiparameter Hall--Littlewood polynomials of types $\mathrm{B}_n$, $\mathrm{C}_n$, and $\mathrm{BC}_n$ for rectangular shapes. We use these expansions to establish the six Jacobi-Trudi-type identities conjectured by Ole Warnaar in 2025.

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