Some open problems on Coxeter groups and unimodality

Francesco Brenti

Some open problems on Coxeter groups and unimodality

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arxiv 2410.09897 v1 pith:ERWNTAYA submitted 2024-10-13 math.CO math.GRmath.RT

Francesco Brenti This is my paper · ORCID

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keywords coxetergroupsopenproblemssomeunimodalitycomputationalevidence

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In this paper I present some open problems on Coxeter groups and unimodality, together with the main partial results, and computational evidence, that are known about them.

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Big data approach to Kazhdan-Lusztig polynomials
math.RT 2024-12 conditional novelty 6.0 of 10

Data on Kazhdan-Lusztig polynomials up to S_11 suggests superexponential growth of extremal coefficients, near-universal unimodality, and a conjectured closed family (1+v+...+v^l)^{k-1}.

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