6533b7cffe1ef96bd1258703

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On multiplicities of cocharacters for algebras with superinvolution

Fabrizio MartinoAntonio Ioppolo

subject

Pure mathematicsSequenceMultiplicitiesAlgebra and Number TheoryMathematics::Commutative AlgebraSuperinvolution010102 general mathematicsCodimensionCocharacters; Colength; Multiplicities; SuperinvolutionCocharacters01 natural sciencesmultiplicitiecocharacterSettore MAT/02 - AlgebraIdentity (mathematics)SuperinvolutionBounded function0103 physical sciences010307 mathematical physicsFinitely-generated abelian groupColength0101 mathematicsConstant (mathematics)Mathematics

description

Abstract In this paper we deal with finitely generated superalgebras with superinvolution, satisfying a non-trivial identity, whose multiplicities of the cocharacters are bounded by a constant. Along the way, we prove that the codimension sequence of such algebras is polynomially bounded if and only if their colength sequence is bounded by a constant.

yearjournalcountryeditionlanguage
2021-03-01
10.1016/j.jpaa.2020.106536https://hdl.handle.net/11697/200290