Color Lie rings and PBW deformations of skew group algebras
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DOI: 10.1016/j.jalgebra.2018.10.012
Abstract: We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group algebras: Every color Lie ring over a finite group… read more here.
Keywords: lie rings; universal enveloping; color lie; group algebras ... See more keywords
Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem
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DOI: 10.1016/j.jpaa.2017.08.006
Abstract: Abstract We show that the non-abelian tensor product of nilpotent, solvable and Engel multiplicative Lie rings is nilpotent, solvable and Engel, respectively. The six term exact sequence in homology of multiplicative Lie rings is obtained.… read more here.
Keywords: multiplicative lie; version stallings; lie rings; new version ... See more keywords