English

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

Representation Theory 2021-02-03 v1 Combinatorics

Abstract

Kazhdan and Lusztig define, for an arbitrary Coxeter system (W,S)(W,S), a family of polynomials indexed by pairs of elements of WW. 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 B~2\tilde{B}_2.

Keywords

Cite

@article{arxiv.2102.01278,
  title  = {Kazhdan-Lusztig polynomials for $\tilde{B}_2$},
  author = {Karina Batistelli and Aram Bingham and David Plaza},
  journal= {arXiv preprint arXiv:2102.01278},
  year   = {2021}
}

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R2 v1 2026-06-23T22:44:58.825Z