Title of article :
On sesquilinear forms over fields with involution Original Research Article
Author/Authors :
Alexandru Tupan، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Pages :
5
From page :
254
To page :
258
Abstract :
Let k be a field of characteristic ≠2 with an involution σ. A matrix A is split if there is a change of variables Q such that (Qσ)TAQ consists of two complementary diagonal blocks. We classify all matrices that do not split. As a consequence we obtain a new proof for the following result. Given a square matrix A there is a matrix S such that (Sσ)TAS=AT and SσS=I.
Keywords :
Hermitian forms , Skew-Hermitian forms , Skew-Hermitian operators
Journal title :
Linear Algebra and its Applications
Serial Year :
2007
Journal title :
Linear Algebra and its Applications
Record number :
825779
Link To Document :
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