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math.RA2023
Representations of Color Lie Superalgebras by Hilbert Series
Shadi Shaqaqha
The representations of various color Lie superalgebras by Hilbert series are the main topic of this work. The Color Lie superalgebras appear in various branches of mathematics (e.g…
math.AG2023
Growth of the dimension of the homogeneous components of Color Lie Superalgebras
Shadi Shaqaqha
The growth of the dimension of the homogeneous components of algebra is an essential topic in algebraic geometry and commutative algebra. In this context, the homogeneous component…
math.RA2023★ 1 cited
Extraction Algorithm of Hom-Lie Algebras Based on Solvable and Nilpotent Groups
Shadi Shaqaqha, Nadeen Kdaisat
Hom-Lie algebras are generalizations of Lie algebras that arise naturally in the study of nonassociative algebraic structures. In this paper, the concepts of solvable and nilpotent…