Lie Rinehart Bialgebras for Crossed Products
Z. Chen, Z.-J. Liu, D.-S. Zhong
TL;DR
This paper explores the structure of Lie Rinehart bialgebras, a generalization of Lie bialgebroids, focusing on crossed products formed by Lie algebra actions on polynomial rings.
Contribution
It provides a detailed analysis of Lie Rinehart bialgebras in the context of crossed products, extending the understanding of their algebraic structure.
Findings
Characterization of Lie Rinehart bialgebras for crossed products
Extension of Lie bialgebroid concepts to algebraic settings
Insights into algebraic structures induced by Lie algebra actions
Abstract
In this paper, we study Lie Rinehart bialgebras, the algebraic generalization of Lie bialgebroids. More precisely, we analyze the structure of Lie Rinehart bialgebras for crossed products induced by actions of Lie algebras on K[t].
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models