Abstract
We generalize to braid statistics some of Manin's work (1989) on the quantum deformation of the general linear supergroup. The key ingredient in this construction is the introduction of a non-standard transposition map Psi ( Psi 2 not=1) which is defined in terms of a generalized permutation operator Pmu (pmu 2 not=1). The dual space (enveloping algebra) with Pmu -statistics is defined. Consideration of coactions on quantum spaces clarifies the resulting structure.
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