Classification problems for system of forms and linear mappings

Details Classification problems for system of forms and linear mappings Classification problems for system of forms and linear mappings

2008-01-05

arxiv.org/abs/0801.0823v1

Math. USSR-Izv. 31 (no. 3) (1988) 481-501

Mathematics

Representation Theory

46 pages

Scientific paper

10.1070/IM1988v031n03ABEH001086

We devise a method that reduces the problem of classifying systems of forms and linear mappings to the problem of classifying systems of linear mappings. Canonical matrices of (i) bilinear or sesquilinear forms, (ii) pairs of symmetric, skew-symmetric, or Hermitian forms, (iii) isometric or selfadjoint operators on a space with nonsingular symmetric, or skew-symmetric, or Hermitian form are obtained over any field of characteristic not 2 up to classification of Hermitian forms over its finite extensions.

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