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.

La Mattina, D. (2009). Polynomial codimension growth of graded algebras. In Contemporary Mathematics (pp.189-198).

Polynomial codimension growth of graded algebras

LA MATTINA, Daniela
2009-01-01

Abstract

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.
Settore MAT/02 - Algebra
Groups, Rings and Group Rings 2008
Ubatuba, San Paolo (Brasile)
27 Luglio-2 Agosto 2008
2009
10
A stampa
La Mattina, D. (2009). Polynomial codimension growth of graded algebras. In Contemporary Mathematics (pp.189-198).
Proceedings (atti dei congressi)
La Mattina, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/40095
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