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Quantum and classical pseudogroups. Part II differential and symplectic pseudogroups

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Abstract

The category of sympletic pseudospaces (analogical to the category of pseudospaces in the sense of [2]) is introduced and used to define symplectic pseudogroups (structures analogical to pseudogroups [3] or quantum groups [4]). It is shown that symplectic pseudogroups are in one-to-one correspondence with Manin groups, also introduced in this paper. The set-theoretical part of these structures has been described in [I].

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Authors and Affiliations

  1. Department of Mathematical Methods in Physics, Faculty of Physics, University of Warśaw, Hoza 74, PL-00-682, Warszawa, Poland

    S. Zakrzewski

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  1. S. Zakrzewski
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Communicated by H. Araki

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Zakrzewski, S. Quantum and classical pseudogroups. Part II differential and symplectic pseudogroups. Commun.Math. Phys. 134, 371–395 (1990). https://doi.org/10.1007/BF02097707

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