Roger Wolcott Richardson (30 May 1930 – 15 June 1993) was a mathematician noted for his work in representation theory and geometry. He was born in Baton Rouge, Louisiana, and educated at Louisiana State University, Harvard University and University of Michigan, Ann Arbor where he obtained a Ph.D. in 1958 under the supervision of Hans Samelson. After a postdoc appointment at Princeton University, he accepted a faculty position at the University of Washington in Seattle. He emigrated to the United Kingdom in 1970, taking up a chair at Durham University. In 1978 he moved to the Australian National University in Canberra, where he stayed as faculty until his death.
Richardson's best known result states that if P is a parabolic subgroup of a reductive group, then P has a dense orbit on its nilradical, i.e., one whose closure is the whole space.[1] This orbit is now universally known as the Richardson orbit.[2]
In 1997 the Cambridge University Press published Algebraic Groups and Lie Groups: A Volume of Papers in Honour of the Late R. W. Richardson, which was organized by a committee of 5 mathematicians selected by the Australian Mathematical Society. The volume's preface has several paragraphs about Richardson's research.[3]
Publications
edit- Nijenhuis, Albert; Richardson Jr., Roger W. (1966). "Cohomology and deformations in graded Lie algebras". Bulletin of the American Mathematical Society. 72 (1): 1–29. doi:10.1090/s0002-9904-1966-11401-5. MR 0195995.
See also
editExternal links
editReferences
edit- ^ Richardson, R. W. (1974). "Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups". Bulletin of the London Mathematical Society. 6: 21–24. doi:10.1112/blms/6.1.21.
- ^ Gus I. Lehrer, Roger Wolcott Richardson 1930–1993, Historical Records of Australian Science, Volume 11 Number 4 (1997)
- ^ Lehrer, G. I., ed. (1997). Algebraic Groups and Lie Groups: A Volume of Papers in Honour of the Late R. W. Richardson. Lecture Series, Volume 9, Australian Mathematical Society. Cambridge University Press. ISBN 0521585325. LCCN 96038843.