On the number of gradings on matrix algebras

DOI10.1016/j.laa.2021.04.005zbMath1482.16074arXiv2004.02285OpenAlexW3143630423MaRDI QIDQ2029814

Diogo Diniz Pereira da Silva e Silva, Daniel M. Pellegrino

Publication date: 4 June 2021

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

Full work available at URL: https://arxiv.org/abs/2004.02285

zbMATH Keywords

matrix algebraelementary gradingsgraded algebraalgebra of upper block-triangular matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

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• Graded isomorphisms on upper block triangular matrix algebras
• Group gradings on upper block triangular matrices
• Minimal varieties of algebras of exponential growth.
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Group gradings on the Lie and Jordan algebras of block-triangular matrices
• Group gradings on upper triangular matrices.
• Codimension growth and minimal superalgebras
• Group Gradings on Matrix Algebras
• Isomorphism of Finite Abelian Groups
• COUNTING FINE GRADINGS ON MATRIX ALGEBRAS AND ON CLASSICAL SIMPLE LIE ALGEBRAS
• Group gradings on associative algebras

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