Linear maps on algebraic groups

DOI10.1016/0024-3795(92)90378-NzbMath0745.20042MaRDI QIDQ1183189

Stephen J. Pierce

Publication date: 28 June 1992

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

zbMATH Keywords

invertible matrices\(K\)-linear transformationsabsolutely irreducible simple algebraic subgroup of \(SL(n,K)\)subfield of the complex numbers

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Linear transformations, semilinear transformations (15A04)

Related Items

Linear preserver problems: A brief introduction and some special techniques, Linear preservers for matrix inequalities and partial orderings, Some general techniques on linear preserver problems

Cites Work

• The preservers of any orthogonal group
• The maximal subgroups of the classical groups
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• Rigid Embedding of Simple Groups in the General Linear Group
• Linear Operators Preserving The Real Symplectic Group
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