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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)


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Giambruno, A. [1] ; La Mattina, D. [1] ; Milies, C. Polcino [2, 3]
Total Authors: 3
[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

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