Counting gradings on Lie algebras of block-triangular matrices

DOI10.1016/j.laa.2024.10.002MaRDI QIDQ6635267

Alex Ramos Borges, Eduardo Fonsêca, Diogo Diniz Pereira da Silva e Silva

Publication date: 9 November 2024

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

zbMATH Keywords

graded Lie algebraelementary gradingsalgebra of block-triangular matrices

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Graded Lie (super)algebras (17B70)

Cites Work

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• Elementary gradings on the Lie algebra \(UT_n^{(-)}\)
• Group gradings on the Lie algebra of upper triangular matrices
• Minimal varieties of algebras of exponential growth.
• On the number of gradings on matrix algebras
• Group gradings on the Lie and Jordan algebras of block-triangular matrices
• Group gradings on upper triangular matrices.
• Codimension growth and minimal superalgebras
• Gradings on block-triangular matrix algebras

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