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March 2005 The growth series of the $n$-extended affine Weyl group of type $A_1$
Tadayoshi Takebayashi
Proc. Japan Acad. Ser. A Math. Sci. 81(3): 51-56 (March 2005). DOI: 10.3792/pjaa.81.51

Abstract

$N$-extended affine Weyl groups are Weyl groups associated to $n$-extended affine root systems introduced by K. Saito [1]. 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.

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Tadayoshi Takebayashi. "The growth series of the $n$-extended affine Weyl group of type $A_1$." Proc. Japan Acad. Ser. A Math. Sci. 81 (3) 51 - 56, March 2005. https://doi.org/10.3792/pjaa.81.51

Information

Published: March 2005
First available in Project Euclid: 18 May 2005

zbMATH: 1084.20028
MathSciNet: MR2128932
Digital Object Identifier: 10.3792/pjaa.81.51

Subjects:
Primary: 20D30

Keywords: $n$-extended affine Weyl group , growth series

Rights: Copyright © 2005 The Japan Academy

Vol.81 • No. 3 • March 2005
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