3-Graded Lie Algebras with Jordan Finiteness Conditions

DOI10.1081/AGB-200027748zbMath1088.17010OpenAlexW2167355393MaRDI QIDQ3158343

Miguel Gómez Lozano, Antonio Fernández López, Esther García

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200027748

zbMATH Keywords

socle

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Super structures (17C70)

Related Items

The socle of a nondegenerate Lie algebra ⋮ The Jordan socle and finitary Lie algebras

Cites Work

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• Jordan pairs
• Finitary simple Lie algebras
• Strongly prime Jordan pairs with nonzero socle
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• Imbedding of Jordan Algebras into Lie Algebras. I
• The ring of fractions of a Jordan algebra