Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials
Algebraic Geometry
2024-08-02 v5 Combinatorics
Representation Theory
Abstract
We establish combinatorial and inductive formulas for Kazhdan-Lusztig polynomials associated to covexillary elements in classical types, extending results of Boe, Lascoux-Sch\"{u}tzenberger, Sankaran-Vanchinathan, and Zelevinsky for Grassmannians of classical types. The proof uses intersection cohomology theory and the isomorphism of Kazhdan-Lusztig varieties from Anderson-Ikeda-Jeon-Kawago.
Keywords
Cite
@article{arxiv.2112.06337,
title = {Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials},
author = {Minyoung Jeon},
journal= {arXiv preprint arXiv:2112.06337},
year = {2024}
}
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16 pages