Abstract:
A method is proposed that allows the reduction of many classification problems of linear algebra to the problem of classifying Hermitian forms. Over the complex, real, and rational fields, classifications are obtained for bilinear forms, pairs of quadratic forms, isometric operators, and selfadjoint operators.
Bibliography: 30 titles.
\Bibitem{Ser87}
\by V.~V.~Sergeichuk
\paper Classification problems for systems of forms and linear mappings
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 3
\pages 481--501
\mathnet{http://mi.mathnet.ru/eng/im1336}
\crossref{https://doi.org/10.1070/IM1988v031n03ABEH001086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=933960}
\zmath{https://zbmath.org/?q=an:0678.15011|0653.15006}
Linking options:
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https://doi.org/10.1070/IM1988v031n03ABEH001086
https://www.mathnet.ru/eng/im/v51/i6/p1170
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