Lyudmyla Oleksandrivna Nazarova (Ukrainian: Людмила Олександрівна Назарова, 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
editWith 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
editLyudmila 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
edit| A. |
| B. |
| 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
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| D. |
References
edit- ^ a b "Lyudmila Nazarova". Encyclopedia of Modern Ukraine.
- ^ 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
- ^ 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
- ^ 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
- ^ 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
- ^ Bretscher, Otto; Todorov, Gordana (1986), "On a theorem of Nazarova and Roĭter", Representation Theory I Finite Dimensional Algebras, Lecture Notes in Mathematics, vol. 1177, Berlin: Springer, pp. 50–54, doi:10.1007/BFb0075257, ISBN 978-3-540-16432-6, MR 0842458
- ^ 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)
- ^ Lyudmyla Nazarova at the Mathematics Genealogy Project
- ^ "Nazarova Lyudmyla", People, National Academy of Sciences of Ukraine, retrieved 2022-07-01