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 Bn and Dn. The proof uses a new graph Γ(π) defined for any element π in the corresponding group.
Ricci curvature of Bruhat orders / Siconolfi, Viola. - In: ADVANCES IN APPLIED MATHEMATICS. - ISSN 0196-8858. - STAMPA. - 139:(2022). [10.1016/j.aam.2022.102375]
Ricci curvature of Bruhat orders
Siconolfi, Viola
2022-01-01
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 Bn and Dn. The proof uses a new graph Γ(π) defined for any element π in the corresponding group.File in questo prodotto:
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