George Benham Seligman (April 30, 1927 – April 25, 2024) was an American mathematician who worked on Lie algebras, especially semi-simple Lie algebras.
George B. Seligman | |
|---|---|
| Born | April 30, 1927 Attica, New York, U.S. |
| Died | April 25, 2024 (aged 96) Hamden, Connecticut, U.S. |
| 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 Brian J Parshall Daniel K. Nakano |
Biography edit
Seligman was born on April 30, 1927.[1] He 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, Brian J Parshall, and Daniel K. Nakano.
Seligman married Irene Schwieder in 1959. The couple had two daughters. He died in Hamden, Connecticut on April 25, 2024, at the age of 96.[3]
Selected works edit
Books edit
- 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[4]
- Rational methods in Lie algebras, Marcel Dekker 1976[5]
- Rational constructions of modules for simple Lie algebras, American Mathematical Society 1981
- Construction of Lie Algebras and their Modules, Springer Verlag 1988
Articles edit
- Seligman, G. B. (1954). "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. Bibcode:1954PNAS...40..726S. doi:10.1073/pnas.40.8.726. PMC 534151. PMID 16589548.
- Seligman, George B. (1957). "Characteristic ideals and the structure of Lie algebras". Proceedings of the American Mathematical Society. 8: 159–164. doi:10.1090/s0002-9939-1957-0082974-9. MR 0082974.
- Seligman, George B. (1959). "On automorphisms of Lie algebras of classical type". Transactions of the American Mathematical Society. 92 (3): 430–448. doi:10.1090/s0002-9947-1959-0106965-0. MR 0106965.
- Seligman, George B. (1960). "On automorphisms of Lie algebras of classical type. II". Trans. Amer. Math. Soc. 94 (3): 452–482. doi:10.1090/s0002-9947-1960-0113969-9. MR 0113969.
- Seligman, George B. (1960). "On automorphisms of Lie algebras of classical type. III". Trans. Amer. Math. Soc. 97 (2): 286–312. doi:10.1090/s0002-9947-1960-0123644-2. MR 0123644.
- Seligman, George B. (1967). "Some results on Lie p-algebras". Bulletin of the American Mathematical Society. 73 (4): 528–530. 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.
- Seligman, George B. (2003). "On idempotents in reduced enveloping algebras". Trans. Amer. Math. Soc. 355 (8): 3291–3300. doi:10.1090/s0002-9947-03-03314-2. MR 1974688.
References edit
- ^ biographical information via American Men and Women of Science, Thomson Gale 2004
- ^ George Seligman at the Mathematics Genealogy Project
- ^ "George Benham Seligman". Retrieved May 3, 2024.
- ^ 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.