Poincaré series of subsets of affine Weyl groups

DOI10.1090/S0002-9939-08-09382-9zbMath1146.05055arXivmath/0603175MaRDI QIDQ3532496

Sankaran Viswanath

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603175

zbMATH Keywords

Poincaré seriesrational functiondescentreflection subgroupsubsets of affine Weyl groups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• Reflection subgroups of Coxeter systems
• Linear Diophantine equations and local cohomology
• Growth series of finite extensions of \(Z^ n \)are rational
• A note on subgroups generated by reflections in Coxeter groups
• Tight quotients and double quotients in the Bruhat order.
• The distribution of descents and length in a Coxeter group
• Groupes et algébras de Lie
• On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups
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