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Toroidal Braid Group Action and an Automorphism of Toroidal Algebra Uq(sln+1,tor) (n ≥ 2)

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Abstract

Utilizing an action of a modification of the double affine Hecke braid group of type gln+1, we obtain an automorphism of the toroidal algebra Uq(sln+1) (n ≥ 2), which maps two central elements C and k0 · kn to k0 · kn and C−1, respectively.

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  1. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, 560, Japan

    Kei Miki

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  1. Kei Miki
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Miki, K. Toroidal Braid Group Action and an Automorphism of Toroidal Algebra Uq(sln+1,tor) (n ≥ 2). Letters in Mathematical Physics 47, 365–378 (1999). https://doi.org/10.1023/A:1007556926350

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