Lie Tori of TypeBC2and Structurable Quasitori

DOI10.1080/00927870802067906zbMath1196.17003OpenAlexW2007172004MaRDI QIDQ3514785

John R. Faulkner

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802067906

zbMATH Keywords

structurable algebrasGeneralized quadrangleExtended affine Lie algebrasJordan quasitoriLie Torus of type \(BC_2\)structurable quasitorus

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Generalized quadrangles and generalized polygons in finite geometry (51E12) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Composition algebras (17A75) Nonassociative algebras satisfying other identities (17A30)

Related Items (1)

Lie tori of type \(B_2\) and graded-simple Jordan structures covered by a triangle

Cites Work

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• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Structurable tori and extended affine Lie algebras of type BC\(_{1}\).
• Coordinate algebras of extended affine Lie algebras of type \(A_1\)
• GENERALIZED QUADRANGLES AND CUBIC FORMS
• Structurable Tori
• Models of isotropic simple lie algebras
• The root system and the core of an extended affine Lie algebra.

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