Group gradings on the Lie and Jordan algebras of upper triangular matrices

DOI10.1007/s40863-017-0067-7zbMath1380.16041OpenAlexW2963786040WikidataQ108276608 ScholiaQ108276608MaRDI QIDQ1690145

Plamen Koshlukov, Eduardo Hitomi, Felipe Yukihide Yasumura

Publication date: 18 January 2018

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-017-0067-7

zbMATH Keywords

graded algebrasupper triangular matriceselementary gradingsgraded polynomial identitiesassociative gradingsJordan gradingsLie gradings

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Graded rings and modules (associative rings and algebras) (16W50) Super structures (17C70)

Related Items (1)

Graded Lie-Rinehart algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elementary gradings on the Lie algebra \(UT_n^{(-)}\)
• Group gradings on the Lie algebra of upper triangular matrices
• Graded identities for T-prime algebras over fields of positive characteristic
• Involutions for upper triangular matrix algebras.
• On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.
• Automorphisms of the Lie algebra of upper triangular matrices over a connected commutative ring
• Gradings on simple Jordan and Lie algebras
• On the graded identities of \(M_{1,1}(E)\)
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Polynomial identities for the Jordan algebra of upper triangular matrices of order 2
• Graded central polynomials for the matrix algebra of order two.
• Group gradings on the Jordan algebra of upper triangular matrices
• Group gradings on upper triangular matrices.
• On the combinatorics of commutators of Lie algebras
• GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl₂(K)
• Identities of associative algebras
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD
• GRADED IDENTITIES FOR THE MATRIX ALGEBRA OF ORDER OVER AN INFINITE FIELD
• Group Gradings on Matrix Algebras
• Graded Brauer Groups.
• Group gradings on associative algebras
• Algebraic combinatorics related to the free Lie algebra

This page was built for publication: Group gradings on the Lie and Jordan algebras of upper triangular matrices