THE WEYL GROUPS OF THE 4-EXTENDED AFFINE ROOT SYSTEMS OF TYPE

Tadayoshi Takebayashi (Japan)

Received March 14, 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] S. Azam and V. Shahsanaei, Extended affine Weyl groups of type preprint. [5] K. Saito, Extended affine root systems I, II, Publ. RIMS, Kyoto Univ. 21 (1985), 75-179, 26 (1990), 15-78. [6] K. Saito and T. Takebayashi, Extended affine root systems III, Publ. RIMS, Kyoto Univ. 33 (1997), 301-329. [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] T. Takebayashi, Weyl groups of the reduced non-simply laced 3-extended affine root systems, Far East J. Appl. Math. 31(1) (2008), 47-80. [9] T. Takebayashi, The Weyl groups of the 3-extended affine root systems   Far East J. Appl. Math. 27(3) (2007), 369-396.

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