Z2 and Klein graded Lie algebras
Representation Theory
2013-12-23 v2
Abstract
In this master's thesis, we recall the definitions and basic results for Lie superalgebras. We specify the definition for Klein graded Lie algebras and, motivated by well known results for Lie superalgebras, we prove similar results for Klein graded Lie algebras. More precisely, we state the theorems of Poincare-Birkhoff-Witt and Ado's, as well as Schur's lemma. Moreover, we present two examples of Klein graded algebra.
Cite
@article{arxiv.1211.7130,
title = {Z2 and Klein graded Lie algebras},
author = {Ioannis Tsartsaflis},
journal= {arXiv preprint arXiv:1211.7130},
year = {2013}
}