Linear maps preserving reduced norms

DOI10.1016/0024-3795(82)90253-1zbMath0482.16018OpenAlexW2007809542MaRDI QIDQ1162570

William C. Waterhouse

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90253-1

zbMATH Keywords

central simple algebrasquaternion algebrasreduced norms

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Finite rings and finite-dimensional associative algebras (16P10) Division rings and semisimple Artin rings (16Kxx)

Related Items (4)

Linear preservers and representations with a 1-dimensional ring of invariants ⋮ Automorphism Group Schemes of Basic Matrix Invariants ⋮ Twisted forms of the determinant ⋮ Some applications of Jordan norms to involutorial simple associative algebras

Cites Work

• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Transformations on Algebras of Matrices
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