A new approach to the Lvov-Kaplansky conjecture through gradings

Autor(es)

Gargate, Ivan Gonzales ; de Mello, Thiago Castilho

• Tipo de documento: Artigo Científico
• Fonte: Linear Algebra and its Applications; v. 674, p. 13-pg., 2023-10-01.

Resumo

In this paper we consider images of (ordinary) non-commutative polynomials on matrix algebras endowed with a graded structure. We give necessary and sufficient conditions to verify that some multilinear polynomial is a central polynomial, or a trace zero polynomial, and we use this approach to present an equivalent statement to the Lvov-Kaplansky conjecture. (c) 2023 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático