Work

Graded polynomial identities and Specht property for the Lie algebra of upper triangular matrices of order 3

Year: 2025

Type: article

Abstract: We compute the graded polynomial identities for the variety of graded algebras generated by the Lie algebra of upper triangular matrices of order 3 over an arbitrary field and endowed with an elementary grading. We investigate the Specht property for the same family of varieties.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500290

Authors: Daniela Martinez Correa, Felipe Yukihide Yasumura

Institution: Universidade de São Paulo

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo

Awards: G3314475590, Structures and representations of algebraic systems and their applications