WEYL GROUPS OF THE SIMPLY-lACED 4-EXTENDED AFFINE ROOT SYSTEMS

Tadayoshi Takebayashi (Japan)

Received March 13, 2008, March 20, 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] K. Saito, Extended affine root systems I, II, Publ. RIMS, Kyoto Univ. 21 (1985), 75-179; 26 (1990), 15-78. [5] K. Saito and T. Takebayashi, Extended affine root systems III, Publ. RIMS, Kyoto Univ. 33 (1997), 301-329. [6] T. Takebayashi, Weyl groups of the simply-laced 3-extended affine root systems, JP J. Algebra, Number Theory Appl. 7(1) (2007), 119-130. [7] 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. [8] T. Takebayashi, Weyl groups of the marked 3-extended affine root systems, Far East J. Appl. Math. 31(1) (2008), 81-119.

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