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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 31, Issue 1, Pages 47 - 80 (April 2008)


WEYL GROUPS OF THE REDUCED NON-SIMPLY LACED 3-EXTENDED AFFINE ROOT SYSTEMS

Tadayoshi Takebayashi (Japan)

Received February 5, 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, Extended affine root systems, J. Lie Theory 12(2) (2002), 515-527.

[3] S. Azam, Nonreduced extended affine Weyl groups, Journal of Algebra 269 (2003), 508-527.

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

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

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

[7] K. Saito and T. Takebayashi, Extended affine root systems III, Publ. RIMS, Kyoto Univ. 33 (1997), 301-329.

[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.

Keywords and phrases: non-simply laced, 3-extended affine root system, Weyl group.

 


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