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Lyudmyla Nazarova

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Lyudmyla Oleksandrivna Nazarova (Template:Lang-uk, published as L. A. Nazarova and also spelled Liudmila, Ludmila, or Lyudmila; born 14 May 1938 in Vologda, RSFSR[1]) is a Ukrainian mathematician specializing in linear algebra and representation theory.

Research

With her husband, Andrei Vladimirovich Roiter, Nazarova founded the theory of representations of and differentiation of partially ordered sets,[2][3][A] and solved the second Brauer–Thrall conjecture, proving what became known as the Nazarova–Roiter theorem.[4][5][6][B] Her research has also included pioneering work on representations of quivers,[C] and on the wild problem in matrix classification.[D]

Education and career

Lyudmila Nazarova was born in a family of mathematician Olxander Nazarov.[1] Nazarova began her studies at Taras Shevchenko National University of Kyiv, where she met Roiter. Together they transferred to Leningrad State University,[7] where Nazarova completed her doctorate as a student of Dmitry Faddeev.[8] They returned to Kiev,[7] and Nazarova became a researcher in the Institute of Mathematics of the Academy of Sciences of Ukraine, now the National Academy of Sciences of Ukraine. She has since retired.[9]

Selected publications

A.
Nazarova, L. A.; Roĭter, A. V. (1972), "Representations of partially ordered sets", Zapiski Naučnyh Seminarov Leningradskogo Otdelenija Matematičeskogo Instituta im V. A. Steklova Akademii Nauk SSSR, 28: 5–31, MR 0340121
B.
Nazarova, L. A.; Roĭter, A. V. (1973), Kategornye matrichnye zadachi i problema Brauèra-Trèlla [Categorial matrix problems, and the Brauer-Thrall problem], Kiev: Izdat. Naukova Dumka, MR 0412233
C.
Nazarova, L. A. (1973), "Representations of quivers of infinite type", Izvestiya Akademii Nauk SSSR, 37 (4): 752–791, Bibcode:1973IzMat...7..749N, doi:10.1070/IM1973v007n04ABEH001975, MR 0338018
D.
Nazarova, L. A. (1974), "Representations of partially ordered sets of infinite type", Funkcional'nyi Analiz i ego Priloženija, 8 (4): 93–94, MR 0354455

References

  1. ^ a b "Lyudmila Nazarova". Encyclopedia of Modern Ukraine.
  2. ^ Yakovlev, A. V. (August 2007), "To the memory of Andrei Vladimirovich Roiter", Journal of Mathematical Sciences, 145 (1): 4831–4835, doi:10.1007/s10958-007-0316-x, S2CID 123095732
  3. ^ Lin, Yanan (1998), "Hammocks and the Nazarova–Roiter algorithm", Journal of the London Mathematical Society, Second Series, 57 (2): 309–324, doi:10.1112/S0024610798005894, MR 1644193, S2CID 122787380
  4. ^ Ringel, Claus Michael (1980), "On algorithms for solving vector space problems. I. Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter", Representation theory, I (Proc. Workshop, Carleton Univ., Ottawa, Ont., 1979), Lecture Notes in Mathematics, vol. 831, Berlin: Springer, pp. 104–136, MR 0607142
  5. ^ Fischbacher, Urs (1985), "Une nouvelle preuve d'un théorème de Nazarova et Roiter", Comptes Rendus des Séances de l'Académie des Sciences, 300 (9): 259–262, MR 0785064
  6. ^ Bretscher, Otto; Todorov, Gordana (1986), "On a theorem of Nazarova and Roĭter", Representation theory, I (Ottawa, Ont., 1984), Lecture Notes in Mathematics, vol. 1177, Berlin: Springer, pp. 50–54, doi:10.1007/BFb0075257, MR 0842458
  7. ^ a b Bondarenko, V. M.; Drozd, Yu. A.; Kirichenko, V. V.; Kleiner, M.; A.Kruglyak, S.; Ovsienko, S. A., In memory of Andrei Vladimirovich Roiter (PDF)
  8. ^ Lyudmyla Nazarova at the Mathematics Genealogy Project
  9. ^ "Nazarova Lyudmyla", People, National Academy of Sciences of Ukraine, retrieved 2022-07-01
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