THE WEYL GROUP OF THE 4-EXTENDED AFFINE ROOT SYSTEM

Tadayoshi Takebayashi (Japan)

Received June 24, 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. 44 (2008), 131-161. [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 and Appl. 7(1), 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, The Weyl group of the 3-extended affine root system JP J. Algebra, Number Theory and Appl. 7(2) (2007), 153-165. [9] T. Takebayashi, Weyl groups of the marked 3-extended affine root systems, Far East J. Appl. Math. 31(1) (2008), 81-119. [10] T. Takebayashi, Weyl groups of the simply-laced 4-extended affine root systems, Far East J. Appl. Math. 32(1) (2008), 73-82. [11] T. Takebayashi, Weyl groups of the reduced non-simply laced 4-extended affine root systems, Far East J. Appl. Math. 32(2) (2008), 221-241. [12] T. Takebayashi, Nonreduced 4-extended affine root systems, Far East J. Appl. Math. 32(3) (2008), 285-309.

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