English

Introduction to co-split Lie algebras

Quantum Algebra 2012-04-05 v1 Representation Theory

Abstract

In this work, we introduce a new concept which is obtained by defining a new compatibility condition between Lie algebras and Lie coalgebras. With this terminology, we describe the interrelation between the Killing form and the adjoint representation in a new perspective.

Keywords

Cite

@article{arxiv.1008.2505,
  title  = {Introduction to co-split Lie algebras},
  author = {Limeng Xia and Naihong Hu},
  journal= {arXiv preprint arXiv:1008.2505},
  year   = {2012}
}
R2 v1 2026-06-21T16:00:55.197Z