A Weyl group generation function that ought to be better known

DOI10.1016/S0019-3577(98)80012-8zbMath0927.20020MaRDI QIDQ1279718

Debra J. Waugh, John R. Stembridge

Publication date: 6 December 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

generating functionsaffine Weyl groupsroot systemslengthfinite Weyl groupssimple rootspositive roots

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15)

Related Items (6)

Enumerating traceless matrices over compact discrete valuation rings ⋮ Subalgebras of the Fomin-Kirillov algebra ⋮ Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes, II: Groups of type F, G, and H ⋮ Asymptotic normality of the major index on standard tableaux ⋮ The mathematics of lecture hall partitions ⋮ Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension

Cites Work

• Yang's system of particles and Hecke algebras
• Variation on a theme of Macdonald
• The Poincaré series of a Coxeter group
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• An application of the Morse theory to the topology of Lie-groups
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