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Poincaré Series of the Weyl Groups of the Elliptic Root Systems A 1 (1,1), A 1 (1,1)* and A 2 (1,1)
Authors:Tadayoshi Takebayashi
Affiliation:(1) Department of Mathematical Science, School of Science and Engineering, Waseda University, Ohkubo Shinjuku-ku, Tokyo, 169-8555
Abstract:
We calculate the Poincaré series of the elliptic Weyl group W(A2(1,1)), which is the Weyl group of the elliptic root system of type A2(1,1). The generators and relations of W(A2(1,1)) have been already given by K. Saito and the author.
Keywords:Poincaré   series  elliptic root system  elliptic Weyl group
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