Involutions and anti-automorphisms of central simple algebras.

DOI10.1016/S0022-4049(03)00015-XzbMath1092.16010MaRDI QIDQ1399146

David W. Lewis

Publication date: 30 July 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

endomorphismscentral simple algebrastrace formscentral division algebrasasymmetriessesquilinear formsanti-automorphismsnonsingular pairings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

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Sesquilinear Morita Equivalence and Orthogonal Sum of Algebras with Antiautomorphism

Cites Work

• On the similarity transformation between a matrix and its transpose
• Inertia characteristics of self-adjoint matrix polynomials
• Trace forms of central simple algebras
• The equivalence of bilinear forms
• Trace forms, kronecker sums, and the shuffle matrix
• Cosquares:complex and otherwise
• The asymmetry of an anti-automorphism
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