
In this paper we describe the the category of Lie algebras of group algebras and the category of Plesken Lie algebras and explore the categorical relations between them. Further we provide the examples of the Lie algebra of the group algebra of subgroups of Heisenburg group and the Plesken Lie algebra of subgroups of Heisenburg group.
11 pages 0 figures
FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), F.2.2, 18A05
FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), F.2.2, 18A05
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