A two-sided analogue of the Coxeter complex

zbMath1441.05243arXiv1607.00086MaRDI QIDQ668037

T. Kyle Petersen

Publication date: 5 March 2019

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

Full work available at URL: https://arxiv.org/abs/1607.00086

zbMATH Keywords

Coxeter groupCoxeter complexcontingency tableEulerian polynomial

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15) Combinatorial aspects of groups and algebras (05E16)

Related Items (5)

Stratifying the space of barcodes using Coxeter complexes ⋮ Counting parabolic double cosets in symmetric groups ⋮ A central limit theorem for the two-sided descent statistic on Coxeter groups ⋮ Parabolic induction and perverse sheaves on \(W \backslash \mathfrak{h} \) ⋮ Contingency tables with variable margins (with an appendix by Pavel Etingof)

Uses Software

• OEIS
• coxeter
• posets
• SF

Cites Work

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• Combinatorics and commutative algebra.
• Some remarks on the joint distribution of descents and inverse descents
• Two-Sided Eulerian Numbers via Balls in Boxes
• Combinatorics of Coxeter Groups
• The combinatorics of twisted involutions in Coxeter groups
• Buildings
• Permutations and sequences with repetitions by number of increases
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS

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