Please use this identifier to cite or link to this item:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/323458
Type: | Artigo |
Title: | The G-graded Identities Of The Grassmann Algebra The G-graded identities of the Grassmann algebra |
Author: | Centrone, Lucio |
Abstract: | Let G be a finite abelian group with identity element 1G and (Formula present) be an infinite dimensional G-homogeneous vector space over a field of characteristic 0. Let E = E(L) be the Grassmann algebra generated by L. It follows that E is a G-graded algebra. Let |G| be odd, then we prove that in order to describe any ideal of G-graded identities of E it is sufficient to deal with G′-grading, where |G′| ≤ |G|, dimF L1G′ = ∞ and dimF Lg′ < ∞ if g′ = 1G′. In the same spirit of the case |G| odd, if |G| is even it is sufficient to study only those G-gradings such that dimF Lg = ∞, where o(g) = 2, and all the other components are finite dimensional. We also compute graded cocharacters and codimensions of E in the case dim (Formula present) and dim (Formula present) if g ≠ 1G. © 2016, Masarykova Universita. All rights reserved. Let G be a finite abelian group with identity element 1G and L = L g∈G Lg be an infinite dimensional G-homogeneous vector space over a field of characteristic 0. Let E = E(L) be the Grassmann algebra generated by L. It follows that E is a G-graded algebra |
Subject: | Graded Polynomial Identities Álgebras graduadas Identidades polinomiais graduadas Co-caracter Grassmann, Álgebra de |
Country: | República Checa |
Editor: | Masarykova Univerzita |
Citation: | Archivum Mathematicum. Masarykova Universita, v. 52, n. 3, p. 141 - 158, 2016. |
Rights: | fechado fechado |
Identifier DOI: | 10.5817/AM2016-3-141 |
Address: | https://dml.cz/handle/10338.dmlcz/145829 |
Date Issue: | 2016 |
Appears in Collections: | IMECC - Artigos e Outros Documentos |
Files in This Item:
File | Size | Format | |
---|---|---|---|
2-s2.0-84991497572.pdf | 655.41 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.