On the combinatorics of commutators of Lie algebras

DOI10.1142/S0219498820501194zbMath1450.17003arXiv1609.09407OpenAlexW2963228791WikidataQ114614640 ScholiaQ114614640MaRDI QIDQ3298367

Eduardo Hitomi, Felipe Yukihide Yasumura

Publication date: 14 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09407

zbMATH Keywords

permutationsLie commutators

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Group actions on combinatorial structures (05E18)

Related Items (3)

Group gradings on the Jordan algebra of upper triangular matrices ⋮ Group gradings on the Lie and Jordan algebras of upper triangular matrices ⋮ Elementary gradings on the Lie algebra \(UT_n^{(-)}\)

Cites Work

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• On the image of a noncommutative polynomial.
• Elementary gradings on the Lie algebra \(UT_n^{(-)}\)
• Group gradings on the Lie algebra of upper triangular matrices
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Group gradings on upper triangular matrices.
• The images of non-commutative polynomials evaluated on 2×2 matrices
• The images of multilinear polynomials evaluated on $3\times 3$ matrices
• The images of Lie polynomials evaluated on matrices
• IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS
• The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field
• Algebraic combinatorics related to the free Lie algebra

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