Graded polynomial identities and Specht property for the Lie algebra of upper triangular matrices of order 3
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.
Authors
- Felipe Yukihide Yasumura (ORCID: https://orcid.org/0000-0001-6623-6874)
- Daniela Martinez Correa (ORCID: https://orcid.org/0000-0003-3745-6530)
Institutions
- Brazilian Society of Computational and Applied Mathematics (BR)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-08-30
- DOI
- https://doi.org/10.1142/s0219498827500290
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00