INVOLUTIONS AND ANTI-AUTOMORPHISMS OF ALGEBRAS

DOI10.1112/S002460930601873XzbMath1110.16037OpenAlexW2120255216MaRDI QIDQ5483930

David W. Lewis

Publication date: 24 August 2006

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002460930601873x

zbMATH Keywords

group algebrascentral simple algebrasanti-automorphismsseparable algebrasanisotropic involutionsadjoint involutions of bilinear formsfirst kind involutionsincidence algebras of partially ordered setssecond kind involutions

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

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On the isomorphism of unitary subgroups of noncommutative group algebras ⋮ Computing isometry groups of Hermitian maps ⋮ Algorithms Based on *-Algebras, and Their Applications to Isomorphism of Polynomials with One Secret, Group Isomorphism, and Polynomial Identity Testing ⋮ Oriented Hopf algebras and their actions. ⋮ Finding central decompositions of p-groups ⋮ Decomposing \(p\)-groups via Jordan algebras.

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