The Poincaré series of the central extension \(\widetilde W\) of the elliptic Weyl group of type \(A_1^{(1,1)}\).
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Publication:1771341
DOI10.1016/J.JALGEBRA.2004.10.025zbMath1069.20029OpenAlexW1967656451MaRDI QIDQ1771341
Publication date: 21 April 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.10.025
Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20) Basic hypergeometric functions associated with root systems (33D67)
Cites Work
- Extended affine root systems. II: Flat invariants
- 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 \(A_2^{(1,1)}\).
- The Poincaré series of a Coxeter group
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