| Full text | |
| Author(s): |
Total Authors: 3
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| 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
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| 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 |