Miniversal deformations of matrices of bilinear forms

Details Miniversal deformations of matrices of bilinear forms Miniversal deformations of matrices of bilinear forms

2010-04-20

arxiv.org/abs/1004.3584v3

Mathematics

Representation Theory

39 pages. The first version of this paper was published as Preprint RT-MAT 2007-04, Universidade de Sao Paulo, 2007, 34 p. The

Scientific paper

10.1016/j.laa.2011.11.010

V.I. Arnold [Russian Math. Surveys 26 (2) (1971) 29-43] constructed a miniversal deformation of matrices under similarity; that is, a simple normal form to which not only a given square matrix A but all matrices B close to it can be reduced by similarity transformations that smoothly depend on the entries of B. We construct a miniversal deformation of matrices under congruence.

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