The growth series of the \(n\)-extended affine Weyl group of type \(A_1\). (English) Zbl 1084.20028

Summary: \(n\)-extended affine Weyl groups are Weyl groups associated to \(n\)-extended affine root systems introduced by K. Saito [Publ. Res. Inst. Math. Sci. 21, 75-179 (1985; Zbl 0573.17012)]. We calculate the growth series of the \(n\)-extended affine Weyl group of type \(A_1\) with a generator system of an \(n\)-toroidal sense.


20F55 Reflection and Coxeter groups (group-theoretic aspects)
20F05 Generators, relations, and presentations of groups
17B20 Simple, semisimple, reductive (super)algebras


Zbl 0573.17012
Full Text: DOI Euclid


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