Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules

Daowei Lu; Dingguo Wang

Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules

Rings and Algebras 2025-09-26 v1

Authors: Daowei Lu , Dingguo Wang

Abstract

Let $H$ be a Hopf algebra with a bijective antipode and $A$ an $H$ -comodule Poisson 3-Lie algebra. Assume that there exists an $H$ -colinear map which is also an algebra map from $H$ to the Poisson center of $A$ . In this paper we generalize the fundamental theorem of $(A, H)$ -Hopf modules to Poisson 3-Lie $(A, H)$ -Hopf modules and deduce relative projectivity in the category of Poisson 3-Lie $(A, H)$ -Hopf modules.

Keywords

Hopf modules Poisson 3-Lie algebras fundamental theorem relative projectivity H-comodule Hopf algebra

Cite

@article{arxiv.2509.20670,
  title  = {Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules},
  author = {Daowei Lu and Dingguo Wang},
  journal= {arXiv preprint arXiv:2509.20670},
  year   = {2025}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2509.08278

Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules

Abstract

Keywords

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