Classification of division \({\mathbb Z}^n\)-graded alternative algebras.

DOI10.1016/S0021-8693(02)00022-4zbMath1068.17012OpenAlexW2085231713MaRDI QIDQ1858206

Yoji Yoshii

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00022-4

zbMATH Keywords

alternative algebradivision \(\mathbb Z^n\)-graded alternative algebraoctonion ring

Mathematics Subject Classification ID

Alternative rings (17D05)

Related Items (7)

Derivations and invariant forms of Jordan and alternative tori ⋮ Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori ⋮ Chevalley involutions for Lie tori and extended affine Lie algebras ⋮ Oriented CW complexes and finite‐dimensional alternative algebras ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Localization of highest weight modules of a class of extended affine Lie algebras ⋮ Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids

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• Infinite Crossed Products and Group-Graded Rings
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2

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