Biography:Anatoly Illarionovich Shirshov
Anatoly Illarionovich Shirshov (Анато́лий Илларио́нович Ширшо́в, 8 August 1921, Kolyvan, Novosibirsk Oblast – 28 February 1981, Novosibirsk) was a Soviet mathematician, known for his research on free Lie algebras. He proved the Shirshov-Witt theorem, which states that any Lie subalgebra of a free Lie algebra is itself a free Lie algebra.[1][2]
In 1939 he graduated from secondary school in the city of Aleysk of the Altai Territory and in the same year entered Tomsk University. After the first year, he transferred to the correspondence ("distance education" or "learning by mail") department and worked as a mathematics teacher in Aleysk. One of the streets of Aleisk is named after Anatoly Shirshov.
In 1942 A. I. Shirshov volunteered for the front as part of 6th Rifle Corps of Siberian Volunteers. He fought on the West, Kalininsky, and 2nd Belorussian Fronts. He was awarded the medal of the Front Order on the 2nd Belorussian Front, No. 0813 dated 07/16/1945, "For Military Merit".
Beginning in 1946 A. I. Shirshov worked at the Stanichno-Luhansk secondary school in the Luhansk Oblast and studied in the correspondence department of Voroshilovgrad Pedagogical Institute, graduating there in 1949.
In 1950 A. I. Shirshov was admitted to graduate school in the Mechanics and Mathematics Faculty of Moscow State University. There in 1953 he received his Ph.D. (Russian Candidate degree). His thesis Some problems in the theory of nonassociative rings and algebras was supervised by A. G. Kurosh.[3] In 1953 Shirshov introduced the concept of "regular words", now called Lyndon words after Roger Lyndon, who published the idea in 1954.[4] In 1958 A. I. Shirshov defended his higher doctoral dissertation On some classes of rings that are nearly associative and received his Russian Doctorate of Sciences degree.[5]
From 1960 until his death A. I. Shirshov worked at the Sobolev Institute of Mathematics, while being a professor at Novosibirsk State University. From 1960 to 1974 he was deputy director of the Sobolev Institute of Mathematics. He was also the head of the department of algebra from 1960 until his death.[5]
He was elected a corresponding member of the Academy of Sciences of the Soviet Union in 1964.
References
- ↑ Širšov, Anatoliĭ I. (1953), "Subalgebras of free Lie algebras", Mat. Sbornik N.S. 33 (75): 441–452
- ↑ Shirshov, A. I. (1958), "On free Lie rings", Mat. Sbornik N.S. 45 (87): 113–122
- ↑ Anatoly Illarionovich Shirshov at the Mathematics Genealogy Project
- ↑ Shirshov, A. I. (1953), "Subalgebras of free Lie algebras", Mat. Sbornik N.S. 33 (75): 441–452
- ↑ 5.0 5.1 Selected Works of A.I. Shirshov. Springer Science & Business Media. 9 November 2009. ISBN 978-3-7643-8858-4. https://books.google.com/books?id=l4w-kYZFobIC. (See Preface.)
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