Relations of the Weyl groups of extended affine root systems \(A_l^{(1,1)}\), \(B_l^{(1,1)}\), \(C_l^{(1,1)}\), \(D_l^{(1,1)}\)

DOI10.3792/PJAA.71.123zbMath0964.20502OpenAlexW2048375489MaRDI QIDQ1908717

Tadayoshi Takebayashi

Publication date: 18 July 2001

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

Full work available at URL: https://doi.org/10.3792/pjaa.71.123

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (2)

Poincaré series of the Weyl groups of the elliptic root systems \(A_1^{(1,1)}\), \(A_1^{(1,1)^*}\) and \(A_2^{(1,1)}\). ⋮ \(q\)-deformation of the group algebra \(k[\widehat W\) associated to the elliptic root system \(A_l^{(1,1)}\) (\(l\geq 2\))]

Cites Work

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

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