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arXiv · 2112.06337

Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials

Minyoung Jeon
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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.

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Minyoung Jeon. 2021-12-12. Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials. https://arxiv.org/abs/2112.06337

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