$q$-deformation of the group algebra $k[\widehat {W}]$ associated to the elliptic root system $A_l^{(1,1)}$ ($l \geq 2$)

Tadayoshi Takebayashi

doi:10.3792/pjaa.76.35

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March 2000 $q$-deformation of the group algebra $k[\widehat {W}]$ associated to the elliptic root system $A_l^{(1,1)}$ ($l \geq 2$)

Tadayoshi Takebayashi

Proc. Japan Acad. Ser. A Math. Sci. 76(3): 35-38 (March 2000). DOI: 10.3792/pjaa.76.35

Abstract

In the case of elliptic root system $A_l^{(1,1)}$ ($l \geq 2$), a $q$-deformation algebra of the hyperbolic extension of the elliptic Weyl group is constructed by using a representation according to Kazhdan-Lusztig.

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Tadayoshi Takebayashi. "$q$-deformation of the group algebra $k[\widehat {W}]$ associated to the elliptic root system $A_l^{(1,1)}$ ($l \geq 2$)." Proc. Japan Acad. Ser. A Math. Sci. 76 (3) 35 - 38, March 2000. https://doi.org/10.3792/pjaa.76.35