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.
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]
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]
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
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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
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C. |
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
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