George Seligman

George B. Seligman
George B. Seligman
Born	30 April 1927; Attica, New York
Nationality	American
Alma mater	University of Rochester; Yale University
	Scientific career
Fields	Mathematics
Institutions	Princeton University; Yale University
Thesis	Lie algebras of prime characteristic (1954)
Doctoral advisor	Nathan Jacobson
Doctoral students	James E. Humphreys ; Daniel K. Nakano

George Benham Seligman (born 30 April 1927)[1] is an American mathematician who works on Lie algebras, especially semi-simple Lie algebras.

Biography

Seligman received his bachelor's degree in 1950 from the University of Rochester and his PhD in 1954 from Yale University under Nathan Jacobson with thesis Lie algebras of prime characteristic.[2] After he received his PhD he was a Henry Burchard Fine Instructor at Princeton University from 1954–1956. In 1956 he became an instructor and from 1965 a full professor at Yale, where he was chair of the mathematics department from 1974 to 1977.

For the academic year 1958/59 he was a Fulbright Lecturer at the University of Münster. His doctoral students include James E. Humphreys and Daniel K. Nakano.

Since 1959 he has been married to Irene Schwieder and the couple has two daughters.

Selected works

Books

On Lie algebras of prime characteristic, American Mathematical Society, 1956
Liesche Algebren, Schriftenreihe des Mathematischen Instituts der Universität Münster, 1959
Modular Lie Algebras, Springer Verlag 1967[3]
Rational methods in Lie algebras, Marcel Dekker 1976[4]
Rational constructions of modules for simple Lie algebras, American Mathematical Society 1981
Construction of Lie Algebras and their Modules, Springer Verlag 1988

Articles

"On a class of semisimple restricted Lie algebras". Proceedings of the National Academy of Sciences of the United States of America. 40 (8): 726–728. 1954. doi:10.1073/pnas.40.8.726. PMC 534151. PMID 16589548.
"Characteristic ideals and the structure of Lie algebras". Proceedings of the American Mathematical Society. 8: 159–164. 1957. doi:10.1090/s0002-9939-1957-0082974-9. MR 0082974.
"On automorphisms of Lie algebras of classical type". Transactions of the American Mathematical Society. 92: 430–448. 1959. doi:10.1090/s0002-9947-1959-0106965-0. MR 0106965.
"On automorphisms of Lie algebras of classical type. II". Trans. Amer. Math. Soc. 94: 452–482. 1960. doi:10.1090/s0002-9947-1960-0113969-9. MR 0113969.
"On automorphisms of Lie algebras of classical type. III". Trans. Amer. Math. Soc. 97: 286–312. 1960. doi:10.1090/s0002-9947-1960-0123644-2. MR 0123644.
"Some results on Lie p-algebras". Bulletin of the American Mathematical Society. 73: 528–530. 1967. doi:10.1090/s0002-9904-1967-11731-2. MR 0219585.
"Algebraic Lie groups". Bull. Amer. Math. Soc. 74: 1051–1065. 1968. doi:10.1090/s0002-9904-1968-12046-4. MR 0232810.
"On idempotents in reduced enveloping algebras". Trans. Amer. Math. Soc. 355: 3291–3300. 2003. doi:10.1090/s0002-9947-03-03314-2. MR 1974688.

References

biographical information American Men and Women of Science, Thomson Gale 2004
George Seligman at the Mathematics Genealogy Project
Schafer, R. D. (1971). "Review: Modular Lie algebras by George B. Seligman" (PDF). Bull. Amer. Math. Soc. 77 (5): 689–694. doi:10.1090/s0002-9904-1971-12772-6.
Humphreys, James E. (1977). "Review: Rational methods in Lie algebras by George B. Seligman" (PDF). Bulletin of the American Mathematical Society. 83 (5): 993–997. doi:10.1090/S0002-9904-1977-14348-6.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[1] raphical information American Men and Women of Science, Thomson Gale 2004

[2] George Seligman at the Mathematics Genealogy Project

[3] Schafer, R. D. (1971). "Review: Modular Lie algebras by George B. Seligman" (PDF). Bull. Amer. Math. Soc. 77 (5): 689–694. doi:10.1090/s0002-9904-1971-12772-6.

[4] Humphreys, James E. (1977). "Review: Rational methods in Lie algebras by George B. Seligman" (PDF). Bulletin of the American Mathematical Society. 83 (5): 993–997. doi:10.1090/S0002-9904-1977-14348-6.