THE GROWTH SERIES OF THE WEYL GROUP OF TYPE

Tadayoshi Takebayashi (Japan)

Received March 11, 2008

Abstract

We calculate the growth series of the Weyl group of the 4-extended affine root system of type  (of index 7), which is denoted by  The 4-extended affine root systems of type  are classified into 12 types similarly to [1, 2].

Keywords and phrases: growth series, Weyl group, 4-extended affine root system.