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.)

UNDERSTANDING STAR-FUNDAMENTAL ALGEBRAS

Full text
Author(s):
Giambruno, A. [1] ; La Mattina, D. [1] ; Milies, C. Polcino [2, 3]
Total Authors: 3
Affiliation:
[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, 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
Total Affiliations: 3
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 149, n. 8, p. 3221-3233, AUG 2021.
Web of Science Citations: 0
Abstract

Star-fundamental algebras are special finite dimensional algebras with involution {*} over an algebraically closed field of characteristic zero defined in terms of multialternating {*}-polynomials. We prove that the upper-block matrix algebras with involution introduced in Di Vincenzo and La Scala {[}J. Algebra 317 (2007), pp. 642-657] are star-fundamental. Moreover, any finite dimensional algebra with involution contains a subalgebra mapping homomorphically onto one of such algebras. We also give a characterization of star-fundamental algebras through the representation theory of the symmetric group. (AU)

FAPESP's process: 18/25269-6 - Algebras with polynomial identities
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 15/09162-9 - Non commutative algebra and applications
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Projects - Thematic Grants