The \(q\)-Eulerian distribution of the elliptic Weyl group of type \(A_1^{(1,1)}\).

DOI10.3792/pjaa.82.53zbMath1111.20033OpenAlexW2027169847MaRDI QIDQ863744

Tadayoshi Takebayashi

Publication date: 7 February 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1144158994

zbMATH Keywords

Coxeter systems\(q\)-Eulerian distributionselliptic Weyl groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Binomial posets, Möbius inversion, and permutation enumeration
• Extended affine root systems. III: Elliptic Weyl groups
• Poincaré series of the Weyl groups of the elliptic root systems \(A_1^{(1,1)}\), \(A_1^{(1,1)^*}\) and \(A_2^{(1,1)}\).
• The distribution of descents and length in a Coxeter group

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