6533b861fe1ef96bd12c4fdc
RESEARCH PRODUCT
Group graded algebras and multiplicities bounded by a constant
Antonio GiambrunoAlessio Cirritosubject
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)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-02-01 | Journal of Pure and Applied Algebra |