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Classification problems for systems of forms and linear mappings

V. V. Sergeichuk


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.

UDC: 512.64

MSC: Primary 15A21, 15A63, 16A64; Secondary 16A39

Received: 10.11.1985

 English version: Mathematics of the USSR-Izvestiya, 1988, 31:3, 481–501

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