Parabolic double cosets in Coxeter groups

zbMath1486.20047arXiv1612.00736MaRDI QIDQ1700787

Sara C. Billey, Bridget Eileen Tenner, Matjaž Konvalinka, T. Kyle Petersen, William Slofstra

Publication date: 22 February 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00736

zbMATH Keywords

double cosetsenumerationCoxeter groupparabolic subgroup

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (10)

Statistical enumeration of groups by double cosets ⋮ Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups ⋮ Cohomology in singular blocks of parabolic category ⋮ A singular Coxeter presentation ⋮ Quantum affine algebras and Grassmannians ⋮ Probability distributions of multi-species \(q\)-TAZRP and ASEP as double cosets of parabolic subgroups ⋮ A two-sided analogue of the Coxeter complex ⋮ A local converse theorem for \(\mathrm{Sp}_{2r}\) ⋮ Counting parabolic double cosets in symmetric groups ⋮ Counting inversions and descents of random elements in finite Coxeter groups

Uses Software

• OEIS

Cites Work

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