“George Seligman”的意思、由来-开放百科全书

词条

George Seligman

释义

Selected works
Books Articles
References

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

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

[https://books.google.com/books/about/On_Lie_Algebras_of_Prime_Characteristic.html?id=uDRrStNTBb8C 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

{{cite journal|title=On a class of semisimple restricted Lie algebras|journal=Proc Natl Acad Sci U S A|year=1954|volume=40|issue=8|pages=726–728|pmc=534151|pmid=16589548|doi=10.1073/pnas.40.8.726}}
{{cite journal|title=Characteristic ideals and the structure of Lie algebras|journal=Proc. Amer. Math. Soc.|year=1957|volume=8|pages=159–164|mr=0082974|doi=10.1090/s0002-9939-1957-0082974-9}}
{{cite journal|title=On automorphisms of Lie algebras of classical type|journal=Trans. Amer. Math. Soc.|year=1959|volume=92|pages=430–448|mr=0106965|doi=10.1090/s0002-9947-1959-0106965-0}}
{{cite journal|title=On automorphisms of Lie algebras of classical type. II.|journal=Trans. Amer. Math. Soc.|year=1960|volume=94|pages=452–482|mr=0113969|doi=10.1090/s0002-9947-1960-0113969-9}}
{{cite journal|title=On automorphisms of Lie algebras of classical type. III.|journal=Trans. Amer. Math. Soc.|year=1960|volume=97|pages=286–312|mr=0123644|doi=10.1090/s0002-9947-1960-0123644-2}}
{{cite journal|title=Some results on Lie p-algebras|journal=Bull. Amer. Math. Soc.|year=1967|volume=73|pages=528–530|mr=0219585|doi=10.1090/s0002-9904-1967-11731-2}}
{{cite journal|title=Algebraic Lie groups|journal=Bull. Amer. Math. Soc.|year=1968|volume=74|pages=1051–1065|mr=0232810|doi=10.1090/s0002-9904-1968-12046-4}}
{{cite journal|title=On idempotents in reduced enveloping algebras|journal=Trans. Amer. Math. Soc.|year=2003|volume=355|pages=3291–3300|mr=1974688|doi=10.1090/s0002-9947-03-03314-2}}

References

1. ^biographical information American Men and Women of Science, Thomson Gale 2004
2. ^{{MathGenealogyProject|id=4306}}
3. ^{{cite journal|author=Schafer, R. D.|authorlink=Richard D. Schafer|title=Review: Modular Lie algebras by George B. Seligman|journal=Bull. Amer. Math. Soc.|year=1971|volume=77|issue=5|pages=689–694|url=http://www.ams.org/journals/bull/1971-77-05/S0002-9904-1971-12772-6/S0002-9904-1971-12772-6.pdf|doi=10.1090/s0002-9904-1971-12772-6}}
4. ^{{cite journal|author=Humphreys, J. E.|authorlink=James E. Humphreys|title=Review: Rational methods in Lie algebras by George B. Seligman|year=1977|volume=83|issue=5|pages=993–997|url=http://www.ams.org/journals/bull/1977-83-05/S0002-9904-1977-14348-6/S0002-9904-1977-14348-6.pdf|doi=10.1090/S0002-9904-1977-14348-6|journal=Bulletin of the American Mathematical Society}}

随便看

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。