The growth series of the \(n\)-extended affine Weyl group of type \(A_1\).

DOI10.3792/PJAA.81.51zbMath1084.20028OpenAlexW2038691778MaRDI QIDQ816836

Tadayoshi Takebayashi

Publication date: 1 March 2006

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1116442037

zbMATH Keywords

growth seriesextended affine Weyl groupsextended affine root systems

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)

Related Items (1)

Gröbner-Shirshov bases of some Weyl groups

Cites Work

• Extended affine root systems. I: Coxeter transformations
• 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 \(A_2^{(1,1)}\).

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