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arXiv · 1211.7130

Z2 and Klein graded Lie algebras

Ioannis Tsartsaflis
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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.

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BibTeXRIS

Ioannis Tsartsaflis. 2012-11-30. Z2 and Klein graded Lie algebras. https://arxiv.org/abs/1211.7130

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