Abstract
In the work L. D. Faddeev and his collaborators, and subsequently V. G. Drinfeld, M. Jimbo, S. L. Woronowicz, a new class of Hopf algebras was constructed. They can be considered as one-parametric deformations of either group ring or the universal enveloping algebra of a simple algebraic group. In this paper we define and investigate a multiparametric deformation of the general linear supergroup. This is the simplest example of some general constructions described in [5, 6].
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Communicated by A. Jaffe
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Manin, Y.I. Multiparametric quantum deformation of the general linear supergroup. Commun.Math. Phys. 123, 163–175 (1989). https://doi.org/10.1007/BF01244022
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DOI: https://doi.org/10.1007/BF01244022