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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 31, Issue 2, Pages 137 - 157 (May 2008)


THE GROWTH SERIES OF THE WEYL GROUP OF TYPE

Tadayoshi Takebayashi (Japan)

Received February 22, 2008

References:



[1] B. Allison, S. Azam, S. Berman, Y. Gao and A. Pianzola, Extended affine Lie algebras and their root systems, Mem. Amer. Math. Soc. 603 (1997), 1-122.

[2] S. Azam and V. Shahsanaei, Simply laced extended affine Weyl groups, Publ. RIMS, Kyoto Univ. 43 (2007), 403-424.

[3] S. Azam and V. Shahsanaei, On the presentation of extended affine Weyl groups, Publ. RIMS, Kyoto Univ., to appear.

[4] J. E. Humphreys, Reflection groups and Coxeter groups, Cambridge Studies in Advanced Math. 29, Cambridge University Press, 1990.

[5] T. Takebayashi, The growth series of the n-extended affine Weyl group of type Proc. Japan Academy Ser. A 81(3) (2005), 51-56.

[6] T. Takebayashi, The growth series of the Weyl group of type Far East J. Appl. Math. 28(2) (2007), 209-221.

[7] T. Takebayashi, Weyl groups of the simply-laced 3-extended affine root systems, JP J. Algebra, Number Theory Appl. 7(1) (2007), 119-130.

[8] K. Saito, Extended affine root systems I, II, Publ. RIMS, Kyoto Univ. 21 (1985), 75-179, 26 (1990), 15-78.

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

 


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