6533b7d7fe1ef96bd1267c12
RESEARCH PRODUCT
Polynomial codimension growth of graded algebras
Daniela La Mattinasubject
Settore MAT/02 - AlgebraGraded algebra graded identity G-codimensionsdescription
We study associative $G$-graded algebras with 1 of polynomial $G$-codimension growth, where $G$ is a finite group. For any fixed $k\geq 1,$ we construct associative $G$-graded algebras of upper triangular matrices whose $G$-codimension sequence is given asymptotically by a polynomial of degree $k$ whose leading coefficient is the largest or smallest possible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 | Groups, Rings and Group Rings |