Poincaré series of Coxeter groups and multichains in Eulerian posets

MaRDI QIDQ6644895

Matthew Dyer

Publication date: 28 November 2024

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

zbMATH Keywords

posetgrowth seriesPoincaré seriesCoxeter groupmultichain

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15)

Cites Work

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• Reciprocity of growth functions of Coxeter groups
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• A finiteness property and an automatic structure for Coxeter groups
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• Combinatorics and commutative algebra.
• A matrix for counting paths in acyclic digraphs
• The orders of the finite Chevalley groups
• Combinatorics of Coxeter Groups
• A Formal Calculus for the Enumerative System of Sequences-I. Combinatorial Theorems
• Koszul Duality Patterns in Representation Theory
• Endomorphisms of linear algebraic groups
• The Poincaré Series of the Hyperbolic Coxeter Groups with Finite Volume of Fundamental Domains

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