English

Flagged Skew Schur Polynomials Twisted By Roots Of Unity

Combinatorics 2023-06-21 v1 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2306.10289,
  title  = {Flagged Skew Schur Polynomials Twisted By Roots Of Unity},
  author = {V. Sathish Kumar},
  journal= {arXiv preprint arXiv:2306.10289},
  year   = {2023}
}