Graded Identities and Central Polynomials for the Verbally Prime Algebras
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DOI: 10.1007/s10468-021-10085-3
Abstract: Let F be a field of characteristic zero and let R be an algebra that admits a regular grading by an abelian group H. Moreover, we consider G a group and let A be an… read more here.
Keywords: times mathbb; group; basis graded; graded identities ... See more keywords
Central polynomials and growth functions
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DOI: 10.1007/s11856-018-1704-2
Abstract: The growth of central polynomials for the algebra of n × n matrices in characterstic zero was studied by Regev in [13]. Here we study the growth of central polynomials for any finite-dimensional algebra over… read more here.
Keywords: polynomials growth; growth central; growth; growth functions ... See more keywords
Codimension growth of central polynomials of Lie algebras
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DOI: 10.1515/forum-2019-0130
Abstract: Abstract Let L be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic zero and let I be the T-ideal of polynomial identities of the adjoint representation of L. We prove that… read more here.
Keywords: lie algebras; polynomials lie; codimension growth; growth central ... See more keywords