Hopf algebras in non-associative Lie theory
J. Mostovoy, J.M. P\'erez-Izquierdo, I.P. Shestakov
TL;DR
This paper reviews recent developments in non-associative Lie theory from 2000 onward, emphasizing the role of non-associative Hopf algebras as key tools in understanding the subject.
Contribution
It provides a comprehensive overview of the progress in non-associative Lie theory and highlights the significance of non-associative Hopf algebras in recent research.
Findings
Summarizes key developments in non-associative Lie theory since 2000.
Highlights the importance of non-associative Hopf algebras in current research.
Provides insights into the current understanding of non-associative algebraic structures.
Abstract
We review the developments in the Lie theory for non-associative products from 2000 to date and describe the current understanding of the subject in view of the recent works, many of which use non-associative Hopf algebras as the main tool.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models