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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 32, Issue 1, Pages 57 - 71 (July 2008)


THE GROWTH SERIES OF THE WEYL GROUP OF TYPE

Tadayoshi Takebayashi (Japan)

Received March 11, 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, Kyoyo Univ. 43 (2007), 403-424.

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

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

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

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

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

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

[9] T. Takebayashi, The growth series of the Weyl group of type Far East J. Appl. Math. 31(2) (2008), 137-157.

[10] T. Takebayashi, The growth series of the Weyl group of type Far East J. Appl. Math. 32(1) (2008), 41-55.

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

 


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