Poisson Hopf Module Fundamental Theorem for Hopf Group Coalgebras

Abstract

Let H be a Hopf group coalgebra with a bijective antipode and A an H-comodule Poisson algebra. In this paper, we mainly generalize the fundamental theorem of Poisson Hopf modules to the case of Hopf group coalgebras. Finally we deduce the relative projectivity in the category of Poisson Hopf modules.

Keywords

Hopf group coalgebra / Poisson algebra / Poisson module / Poisson Hopf module / 17B63 / 16T05

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Peking University