Abstract:
In the paper, quantitative characteristics of identities of group algebras of finite groups are studied. A series of relations connecting the PI-exponents of identities with involution and Lie identities of the group algebra itself and of its Lie subalgebra of skew-symmetric elements are obtained.
Keywords:finite group, group ring, identity of a ring, Lie algebra, group algebra, PI-algebra, graded algebra, irreducible representation.
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