Graded involutions on block-triangular matrix algebras

DOI10.1016/J.LAA.2019.09.023zbMath1423.16040OpenAlexW2975008660WikidataQ114664028 ScholiaQ114664028MaRDI QIDQ2332451

Claudemir Fidelis, Dimas José Gonçalves, Felipe Yukihide Yasumura, Diogo Diniz Pereira da Silva e Silva

Publication date: 4 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.09.023

zbMATH Keywords

involutiongraded algebraantiautomorphismupper block-triangular matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (3)

Homogeneous involutions on upper triangular matrices ⋮ Graded identities with involution for the algebra of upper triangular matrices ⋮ Values of multilinear graded \(\ast\)-polynomials on upper triangular matrices of small dimension

Cites Work

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• Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
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• Gradings on simple Jordan and Lie algebras
• Minimal varieties of algebras of exponential growth.
• Group gradings on the Lie and Jordan algebras of block-triangular matrices
• Involutions on graded matrix algebras.
• Group gradings on upper triangular matrices.
• Abelian Gradings on Upper Block Triangular Matrices
• Graded Involutions on Upper-triangular Matrix Algebras

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