Supernormal mappings. I: Orthogonally indecomposable modules and applications
DOI10.1016/j.laa.2009.02.004zbMath1176.15049OpenAlexW1978224189MaRDI QIDQ1019630
Frieder Knüppel, Olaf von Grudzinski, Klaus Nielsen
Publication date: 4 June 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.004
symplectic groupsnormal formsorthogonal groupsunitary groupsclassical groupsHermitian sesquilinear formadjoint mappingsnormal mappingspolynomially normal mappingsself-adjoint mappingssupernormal mappings
Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Hermitian, skew-Hermitian, and related matrices (15B57) Classical groups (algebro-geometric aspects) (14L35) Linear transformations, semilinear transformations (15A04) Quadratic and bilinear forms, inner products (15A63)
Cites Work
- Commutators in classical Lie algebras
- On the similarity transformation between a matrix and its transpose
- On classification of normal matrices in an indefinite scalar product
- On products of two involutions in the orthogonal group of a vector space
- Isometrien von Vektorräumen. I
- Zur Klassifikation von Bilinearformen und von Isometrien über Körpern
- The equivalence of sesquilinear forms
- Conjugacy classes in linear groups
- Roth's theorems over commutative rings
- The equivalence of bilinear forms
- On isometries of inner product spaces
- A straight forward proof of Roth's lemma in matrix equations
- On a Normal Form of the Orthogonal Transformation I
- Normal forms of elements of classical real and complex Lie and Jordan algebras
- The Equivalence of Non-Singular Pencils of Hermitian Matrices in an Arbitrary Field
- On the conjugacy classes in the unitary, symplectic and orthogonal groups
- Normal Matrices Over an Arbitrary Field of Characteristic Zero
- The Equations AX - YB = C and AX - XB = C in Matrices
- Note on the equivalence of nonsingular pencils of Hermitian matrices
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