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

Published 17 Dec 2024 in math.RA | (2412.13325v1)

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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