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arXiv · 2102.01278

Kazhdan-Lusztig polynomials for $\tilde{B}_2$

Karina Batistelli·Aram Bingham·David Plaza
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Abstract

Kazhdan and Lusztig define, for an arbitrary Coxeter system $(W,S)$, a family of polynomials indexed by pairs of elements of $W$. Despite their relevance and elementary definition, the explicit computation of these polynomials is still one of the hardest open problems in algebraic combinatorics. In this paper we explicitly compute Kazhdan-Lusztig polynomials for a Coxeter system of type $\tilde{B}_2$.

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Karina Batistelli, Aram Bingham, David Plaza. 2021-02-02. Kazhdan-Lusztig polynomials for $\tilde{B}_2$. https://arxiv.org/abs/2102.01278

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