Division, Adjoints, and Dualities of Bilinear Maps

DOI10.1080/00927872.2012.660668zbMath1284.18005arXiv1007.4329OpenAlexW2036808331MaRDI QIDQ2855399

James B. Wilson

Publication date: 25 October 2013

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

Full work available at URL: https://arxiv.org/abs/1007.4329

zbMATH Keywords

dualityabelian categorybilinear mapsuniversal propertiesnonsingular bilinear mapsprojectivesadjoint-morphismslinear geometries

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Quadratic and bilinear forms, inner products (15A63) Nonassociative division algebras (17A35)

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Cites Work

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• Decomposing \(p\)-groups via Jordan algebras.
• Jordan pairs
• On the classification of the classical groups
• Non-associative algebras. I: Fundamental concepts and isotopy
• Enumerating p -Groups. I: Inequalities
• Computing isometry groups of Hermitian maps

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