The growth series of the 2-extended affine Weyl group of type \(A_2^{(1,1)}\).

DOI10.1016/J.JALGEBRA.2005.12.013zbMath1104.20039OpenAlexW2034817304MaRDI QIDQ855967

Tadayoshi Takebayashi

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.12.013

zbMATH Keywords

growth seriesextended affine root systems2-extended affine 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

• Extended affine root systems. I: Coxeter transformations
• Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\)
• 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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