Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Tadayoshi Takebayashi

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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.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 76, Number 3 (2000), 35-38.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148393558

Digital Object Identifier
doi:10.3792/pjaa.76.35

Mathematical Reviews number (MathSciNet)
MR1762068

Zentralblatt MATH identifier
0957.20030

Subjects
Primary: 20C15: Ordinary representations and characters

Keywords
$q$-deformation of the hyperbolic extension of the elliptic Weyl group

Citation

Takebayashi, Tadayoshi. $q$-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 (2000), no. 3, 35--38. doi:10.3792/pjaa.76.35. https://projecteuclid.org/euclid.pja/1148393558


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References

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