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Ricci curvature of Bruhat orders

Name: Ricci curvature of Bruhat orders
Creator: Siconolfi, Viola
Keywords: FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2022Embargo end date: 01 Jan 2021 Italy Publisher:Elsevier BVJournal:Advances in Applied Mathematics, volume 139, page 102,375 (issn: 0196-8858,

Authors: Siconolfi, Viola;

doi: 10.1016/j.aam.2022.102375 , 10.48550/arxiv.2103.03828

arXiv: http://arxiv.org/abs/2103.03828

handle: 11589/267740

Ricci curvature of Bruhat orders

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Abstract

We study the Ricci curvature of the Hasse diagrams of the Bruhat order of finite irreducible Coxeter groups. For this purpose we compute the maximum degree of these graphs for types $B_n$ and $D_n$. The proof uses a new graph $Γ(π)$ defined for any element $π$ in the corresponding group.

32 pages

Country

Italy

Related Organizations

University of Pisa
Italy
Polytechnic University of Bari
Italy

Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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