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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Publication:1335099
DOI10.1006/JABR.1994.1256zbMath0836.20056OpenAlexW1993717299MaRDI QIDQ1335099
Publication date: 28 September 1994
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1994.1256
Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional Lie (super)algebras (17B65)
Related Items (8)
The growth series of the 2-extended affine Weyl group of type \(A_2^{(1,1)}\). ⋮ Extended affine root systems. III: Elliptic Weyl groups ⋮ Relations of the Weyl groups of extended affine root systems \(A_l^{(1,1)}\), \(B_l^{(1,1)}\), \(C_l^{(1,1)}\), \(D_l^{(1,1)}\) ⋮ Gröbner-Shirshov bases of some Weyl groups ⋮ On the presentations of extended affine Weyl groups. ⋮ Simply laced extended affine Weyl groups (a finite presentation). ⋮ Presentation by conjugation for \(A_1\)-type extended affine Weyl groups. ⋮ Presentation by conjugation for \(A_1\)-type extended affine Weyl groups.
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