Linear maps on matrices: the invariance of symmetric polynomials

DOI10.1016/0024-3795(77)90064-7zbMath0371.15004OpenAlexW1985032697MaRDI QIDQ1243339

K. Appert

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90064-7

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Automorphisms of \(\det (X_{ij}):\) The group scheme approach, Chapter 4:algebraic sets, polynomials, and other functions, Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSL_n(F), Discriminant preserving linear maps, On trace forms of higher degree

Cites Work

• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• Linear Transformations on Matrices: the Invariance of the Third Elementary Symmetric Function
• Groups of Linear Operators Defined by Group Characters