Poisson-Lie structures as shifted Poisson structures

نویسندگان

چکیده

Classical limits of quantum groups give rise to multiplicative Poisson structures such as Poisson-Lie and quasi-Poisson structures. We relate them the notion a shifted structure which gives conceptual framework for understanding classical (dynamical) r -matrices, groupoids so on. also propose symplectic realization show that Manin pairs triples examples such.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2021

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2021.107633