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arXiv · 2412.13325

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

Daniela Martinez Correa·Felipe Yukihide Yasumura
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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.

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Daniela Martinez Correa, Felipe Yukihide Yasumura. 2024-12-17. Graded polynomial identities and Specht property for the Lie algebra of upper triangular matrices of order 3. https://arxiv.org/abs/2412.13325

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