6533b82dfe1ef96bd1291623

RESEARCH PRODUCT

Asymptotics for the multiplicities in the cocharacters of some PI-algebras

Irina SviridovaAntonio GiambrunoFrancesca Benanti

subject

CombinatoricsQuadratic equationApplied MathematicsGeneral MathematicsPiMultiplicity (mathematics)Finitely-generated abelian groupAssociative propertyMathematics

description

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.

https://doi.org/10.1090/s0002-9939-03-07093-x