Miniversal deformations of chains of linear mappings
V.I. Arnold [Russian Math. Surveys, 26 (no. 2), 1971, pp. 29–43] gave a miniversal deformation of matrices of linear operators; that is, a simple canonical form, to which not only a given square matrix A, but also the family of all matrices close to A, can be reduced by similarity transformations...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2005 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156589 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Miniversal deformations of chains of linear mappings / T.N. Gaiduk, V.V. Sergeichuk, N.A. Zharko // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 47–61. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | V.I. Arnold [Russian Math. Surveys, 26 (no. 2),
1971, pp. 29–43] gave a miniversal deformation of matrices of linear operators; that is, a simple canonical form, to which not only a
given square matrix A, but also the family of all matrices close to
A, can be reduced by similarity transformations smoothly depending on the entries of matrices. We study miniversal deformations
of quiver representations and obtain a miniversal deformation of
matrices of chains of linear mappings
V₁ V₂ · · · Vt ,
where all Vi are complex or real vector spaces and each line denotes
−→ or ←−.
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| ISSN: | 1726-3255 |