Mathematics – Representation Theory
Scientific paper
2011-05-11
Mathematics
Representation Theory
28 pages
Scientific paper
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. A miniversal deformation of matrices under congruence was constructed by V. Futorny and V.V. Sergeichuk [Miniversal deformations of matrices of bilinear forms, Preprint RT-MAT 2007-04, Universidade de Sao Paulo, 2007, 34 p. (arXiv:1004.3584v1)]. We similarly construct miniversal deformation of matrices under *congruence.
Dmytryshyn Andrii R.
Futorny Vyacheslav
Sergeichuk Vladimir V.
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