James Alexander Green
|Born||1926 (age 87–88)
Rochester, New York, U.S.
|Alma mater||St John's College, Cambridge|
|Doctoral advisor||Philip Hall|
|Known for||Work on representation theory|
|Notable awards||de Morgan Medal (2001)|
James Alexander "Sandy" Green FRS (born 1926) is a mathematician and retired Professor at the Mathematics Institute at the University of Warwick, who is still active in the field of representation theory.
James Green was born in 1926 in Rochester, New York, but moved to Toronto with his emigrant Scottish parents at a very early age. The family returned to Britain in 1934 when his father, Frederick C. Green, took up the Drapers Professorship of French at the University of Cambridge.
Green was educated at the Perse School, Cambridge and his first degree was gained at the University of St Andrews during the Second World War. He gained his Ph.D. at St John's College, Cambridge in 1951, under the supervision of Philip Hall.
World War II
His first lecturing post was at the University of Manchester. In 1965 he moved to the University of Sussex, and then in 1966 to Warwick University. He has spent several periods as a visiting academic in the United States, beginning with a year at the Institute for Advanced Study in Princeton, New Jersey in 1960-61, as well as similar visits to universities in France, Germany and Portugal.
Work in mathematics
Green found all the characters of general linear groups over finite fields (Green 1955) and invented the Green correspondence in modular representation theory. Both Green functions in the representation theory of groups of Lie type and Green's relations in the area of semigroups are named after him. His most recent publication (2007) is a revised and augmented edition of his 1980 work, Polynomial Representations of GL(n).
Green met his wife, Margaret, during his time at Bletchley Park. The couple married in 1950, and have two daughters and a son. He now lives in Oxford.
- (1955) The characters of the finite general linear group, Trans. A. M. S. 80 402-447.
- (2007) Polynomial Representations of GL_n, Lecture Notes in Mathematics, Springer, Vol. 830. 2nd edition with an Appendix on Schensted Correspondence and Littelmann Paths, K. Erdmann, J. A. Green and M. Shocker
- J. A. Green, Abstract algebra and semigroups, Ph.D. thesis, University of Cambridge,. 1951
- J.A. Green, On the structure of semigroups, Ann. of Math. (2) 54, (1951). 163–172
- Green, J. A.; Roseblade, J. E.; Thompson, John G. (1984), "Obituary: Philip Hall", The Bulletin of the London Mathematical Society 16 (6): 603–626, doi:10.1112/blms/16.6.603, ISSN 0024-6093, MR 758133
- O'Connor, John J.; Robertson, Edmund F., "James Alexander Green", MacTutor History of Mathematics archive, University of St Andrews
- Berwick prizes page at The MacTutor History of Mathematics archive
- de Morgan medal citation
- James Alexander Green at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "James Alexander Green", MacTutor History of Mathematics archive, University of St Andrews.
- Warwick page Profile at Warwick University