6533b872fe1ef96bd12d3927

RESEARCH PRODUCT

Cocharacters of group graded algebras and multiplicities bounded by one

C. Polcino MiliesC. Polcino MiliesAntonio GiambrunoA. Valenti

subject

Pure mathematics010103 numerical & computational mathematics01 natural sciencesGraded Lie algebraFiltered algebrasymbols.namesakeDifferential graded algebra0101 mathematicsAlgebra over a fieldMathematicsDiscrete mathematicsHilbert series and Hilbert polynomialFinite groupAlgebra and Number TheoryMathematics::Commutative AlgebraMathematics::Rings and Algebras010102 general mathematicsGraded ringPolynomial identitycocharactergraded polynomialSettore MAT/02 - AlgebraBounded functiongraded algebrasymbolsANÉIS E ÁLGEBRAS ASSOCIATIVOS

description

Let G be a finite group and A a G-graded algebra over a field F of characteristic zero. We characterize the (Formula presented.)-ideals (Formula presented.) of graded identities of A such that the multiplicities (Formula presented.) in the graded cocharacter of A are bounded by one. We do so by exhibiting a set of identities of the (Formula presented.)-ideal. As a consequence we characterize the varieties of G-graded algebras whose lattice of subvarieties is distributive.

yearjournalcountryeditionlanguage
2017-09-04
10.1080/03081087.2017.1369493