6533b851fe1ef96bd12a970c

RESEARCH PRODUCT

Polynomial Identities and Asymptotic Methods

Antonio GiambrunoMikhail Zaicev

subject

Discrete mathematicsPure mathematicsReciprocal polynomialMathematics::Commutative AlgebraSymmetric polynomialStable polynomialAlternating polynomialBracket polynomialMonic polynomialMathematicsMatrix polynomialCharacteristic polynomial

description

Polynomial identities and PI-algebras $S_n$-representations Group gradings and group actions Codimension and colength growth Matrix invariants and central polynomials The PI-exponent of an algebra Polynomial growth and low PI-exponent Classifying minimal varieties Computing the exponent of a polynomial $G$-identities and $G\wr S_n$-action Superalgebras, *-algebras and codimension growth Lie algebras and nonassociative algebras The generalized-six-square theorem Bibliography Index.

https://doi.org/10.1090/surv/122