Group gradings on the Jordan algebra of upper triangular matrices

DOI10.1016/j.laa.2017.08.004zbMath1416.17023arXiv1708.03032OpenAlexW2743295006MaRDI QIDQ2406396

Plamen Koshlukov, Felipe Yukihide Yasumura

Publication date: 27 September 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03032

zbMATH Keywords

Jordan algebrasupper triangular matricesgroup gradings

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Jordan structures associated with other structures (17C50) Rings with polynomial identity (16R99) Identities and free Jordan structures (17C05) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (8)

Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Graded polynomial identities for the upper triangular matrix algebra over a finite field ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Group gradings on the Lie and Jordan algebras of upper triangular matrices ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra ⋮ Specht property for some varieties of Jordan algebras of almost polynomial growth ⋮ The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property ⋮ Group gradings on the Lie and Jordan algebras of block-triangular matrices

Cites Work

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• Group gradings on upper triangular matrices.
• On the combinatorics of commutators of Lie algebras
• Identities of associative algebras
• Graded Brauer Groups.
• Algebraic combinatorics related to the free Lie algebra

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