Flagged Skew Schur Polynomials Twisted By Roots Of Unity

V. Sathish Kumar

Flagged Skew Schur Polynomials Twisted By Roots Of Unity

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arxiv 2306.10289 v1 pith:E4HV5YSK submitted 2023-06-17 math.CO math.RT

V. Sathish Kumar This is my paper · ORCID

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keywords polynomialsschurfactorizationfamilyflaggedrootsskewtwisted

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We generalize a theorem of Littlewood concerning the factorization of Schur polynomials when their variables are twisted by roots of unity. We show that a certain family of flagged skew Schur polynomials admit a similar factorization. These include an interesting family of Demazure characters as a special case.

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Cited by 1 Pith paper

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Character factorisations, $z$-asymmetric partitions and plethysm
math.CO 2025-01 conditional novelty 7.0 of 10

The paper embeds all known character factorisations under the Verschiebung operator into a single (z,q)-parametrised family, proved via a new characterisation of z-asymmetric partitions.

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