Group gradings on the Lie and Jordan algebras of block-triangular matrices

DOI10.1016/j.jalgebra.2019.07.020zbMath1446.17041arXiv1811.05870OpenAlexW2743449804WikidataQ115350518 ScholiaQ115350518MaRDI QIDQ2324641

Mikhail Kochetov, Felipe Yukihide Yasumura

Publication date: 11 September 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05870

zbMATH Keywords

graded algebrablock-triangular matricesclassification of gradings

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (4)

Gradings on block-triangular matrix algebras ⋮ Graded Lie-Rinehart algebras ⋮ On the number of gradings on matrix algebras ⋮ Graded involutions on block-triangular matrix algebras

Cites Work

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• Graded isomorphisms on upper block triangular matrix algebras
• Group gradings on upper block triangular matrices
• Group gradings on the Jordan algebra of upper triangular matrices
• Group gradings on upper triangular matrices.
• Jordan isomorphisms of 2-torsionfree triangular rings
• Co-stability of Radicals and Its Applications to PI-Theory
• Group Gradings on Finite Dimensional Lie Algebras
• Abelian Gradings on Upper Block Triangular Matrices

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