Polynomial codimension growth of graded algebras

Risultato della ricerca: Otherpeer review

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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