Corpus ID: 231749807

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

@inproceedings{Batistelli2021KazhdanLusztigPF,
  title={Kazhdan-Lusztig polynomials for \$\tilde\{B\}_2\$},
  author={Karina Batistelli and A. Bingham and David Plaza},
  year={2021}
}
In their seminal paper [KL79] 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 B̃2. 

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