Polynomial codimension growth of graded algebras

Risultato della ricerca: Other

Abstract

We study associative $G$-graded algebras with 1 of polynomial $G$-codimensiongrowth, where $G$ is a finite group. For any fixed $k\geq 1,$ weconstruct associative $G$-graded algebras of upper triangularmatrices whose $G$-codimension sequence is given asymptotically by apolynomial of degree $k$ whose leading coefficient is the largest orsmallest possible.
Lingua originaleEnglish
Pagine189-198
Numero di pagine10
Stato di pubblicazionePublished - 2009

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Graded Algebra
Codimension
Polynomial
Finite Group
Coefficient

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Polynomial codimension growth of graded algebras. / La Mattina, Daniela.

2009. 189-198.

Risultato della ricerca: Other

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title = "Polynomial codimension growth of graded algebras",
abstract = "We study associative $G$-graded algebras with 1 of polynomial $G$-codimensiongrowth, where $G$ is a finite group. For any fixed $k\geq 1,$ weconstruct associative $G$-graded algebras of upper triangularmatrices whose $G$-codimension sequence is given asymptotically by apolynomial of degree $k$ whose leading coefficient is the largest orsmallest possible.",
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AB - We study associative $G$-graded algebras with 1 of polynomial $G$-codimensiongrowth, where $G$ is a finite group. For any fixed $k\geq 1,$ weconstruct associative $G$-graded algebras of upper triangularmatrices whose $G$-codimension sequence is given asymptotically by apolynomial of degree $k$ whose leading coefficient is the largest orsmallest possible.

KW - G-codimensions

KW - Graded algebra

KW - graded identity

UR - http://hdl.handle.net/10447/40095

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ER -