Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A characterization of fundamental algebras through S-n-characters

Full text
Author(s):
Giambruno, Antonio [1] ; Milies, Cesar Polcino [2, 3] ; Zaicev, Mikhail [4]
Total Authors: 3
Affiliation:
[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 84, I-90123 Palermo - Italy
[2] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil
[3] Univ Fed ABC, Av Estados 5001, Santo Andre, SP - Brazil
[4] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119992 - Russia
Total Affiliations: 4
Document type: Journal article
Source: Journal of Algebra; v. 541, p. 51-60, JAN 1 2020.
Web of Science Citations: 0
Abstract

Fundamental algebras play an important role in the theory of algebras with polynomial identities in characteristic zero. They are defined in terms of multialternating polynomials non vanishing on them. Here we give a characterization of fundamental algebras in terms of representations of symmetric groups obtaining this way an equivalent definition. As an application we determine when a finitely generated Grassmann algebra is fundamental. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 15/09162-9 - Non commutative algebra and applications
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Projects - Thematic Grants