Directed graphs and Lie superalgebras of matrices

DOI10.1016/j.jalgebra.2004.12.007zbMath1064.17015OpenAlexW2091318206WikidataQ115351670 ScholiaQ115351670MaRDI QIDQ1770462

Andrei V. Kelarev

Publication date: 7 April 2005

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

Full work available at URL: https://eprints.utas.edu.au/155/1/superalgebras.pdf

zbMATH Keywords

directed graphsgraded Lie superalgebrasLie superalgebras, blocked matrices

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graded Lie (super)algebras (17B70) Directed graphs (digraphs), tournaments (05C20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (8)

Some properties of the idempotent graph of a ring ⋮ CHARACTER CLUSTERS FOR LIE ALGEBRA MODULES OVER A FIELD OF NONZERO CHARACTERISTIC ⋮ CAYLEY GRAPHS OF PARTIALLY ORDERED SETS ⋮ Group Gradings onM₃(k) ⋮ Induced good gradings of structural matrix rings ⋮ About zero torsion linear maps on Lie algebras ⋮ The Inclusion Ideal Graph of Rings ⋮ On powerful andp-central restricted Lie algebras

Cites Work

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• JORDAN SUPERALGEBRAS DEFINED BY BRACKETS
• Polynomial regularities in structural matrix rings
• Aautomorphism groups of certain structural matrix rings
• Do isomorphic structural matrix rings have isomorphic graphs?
• Simple finite-dimensional Jordan superalgebras of prime characteristic

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