Classification problems for system of forms and linear mappings
Abstract
Description
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.
46 pages
46 pages