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]

Publications

  • 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

References

  1. ↑ 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.
  2. ↑ Gus I. Lehrer, Roger Wolcott Richardson 1930–1993, Historical Records of Australian Science, Volume 11 Number 4 (1997)
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