6533b82dfe1ef96bd1291623
RESEARCH PRODUCT
Asymptotics for the multiplicities in the cocharacters of some PI-algebras
Irina SviridovaAntonio GiambrunoFrancesca Benantisubject
CombinatoricsQuadratic equationApplied MathematicsGeneral MathematicsPiMultiplicity (mathematics)Finitely-generated abelian groupAssociative propertyMathematicsdescription
We consider associative PI-algebras over a field of characteristic zero. We study the asymptotic behavior of the sequence of multiplicities of the cocharacters for some significant classes of algebras. We also give a characterization of finitely generated algebras for which this behavior is linear or quadratic.
year | journal | country | edition | language |
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2003-08-13 | Proceedings of the American Mathematical Society |