2012/11/30 by Ioannis Tsartsaflis, Tsartsaflis, Ioannis
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1211.7130
openalex publication_date 2012/11/30 · arxiv created 2013/12/20 · arxiv updated 2013/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.