Search results for " Graded algebras"

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Group graded algebras and multiplicities bounded by a constant

2013

AbstractLet G be a finite group and A a G-graded algebra over a field of characteristic zero. When A is a PI-algebra, the graded codimensions of A are exponentially bounded and one can study the corresponding graded cocharacters via the representation theory of products of symmetric groups. Here we characterize in two different ways when the corresponding multiplicities are bounded by a constant.

Discrete mathematicsPure mathematicsFinite groupAlgebra and Number TheoryMathematics::Commutative AlgebraGroup (mathematics)Zero (complex analysis)Polynomial identities Graded algebras cocharactersRepresentation theorySettore MAT/02 - AlgebraSymmetric groupBounded functionAlgebra over a fieldConstant (mathematics)MathematicsJournal of Pure and Applied Algebra
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