• Corpus ID: 119702798

Z2 and Klein graded Lie algebras

  title={Z2 and Klein graded Lie algebras},
  author={Ioannis Tsartsaflis},
  journal={arXiv: Representation Theory},
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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