Operators on a finite-dimensional $S$-space that satisfy a quadratic equality: tame and wild cases |
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| Author |
vit-bond@imath.kiev.ua
Institute of Mathematics, National Academy of Sciences of Ukraine, ,Tereshchenkivska 3, 252601 Kyiv, Ukraine
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| Abstract |
We consider the problem about operators on a finite-dimensional vector space that is gradable by a partially ordered set with involution. When such operator satisfies a quadratic equality, tame and wild cases are described.
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| Keywords |
operators on graded vector spaces, finite-dimensional vector spaces, partially ordered sets with involution, quadratic operator equations, tame and wild cases
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| DOI |
doi:10.30970/ms.14.1.19-22
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Reference |
1. Bondarenko V. M. Representations of dihedral groups over a field of charactericfic 2, Mat. Sb. 96 (1975), № 1, 63–74. (in Russian)
2. Bondarenko V. M., Drozd Yu. A. Representation type of finite groups, Zap. Nauchn. Sem. Lomi 71 (1977), 24–42. (in Russian) 3. Bondarenko V. M. On classification linear operators up to $S$-similarity, Dopovidi Ukrain Acad. Sci. (1997), № 10, 16--20. (in Russian) 4. Drozd Yu. A. Tame and wild matrix problem, Representation Theory II, Lecture Notes in Mathematics 838 (1979), 242–258. |
| Pages |
19-22
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| Volume |
14
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| Issue |
1
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| Year |
2000
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| Journal |
Matematychni Studii
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