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]
^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. ISBN0521585325. LCCN 96038843.
April 11, 2024
roger, wolcott, richardson, confused, with, australian, footballer, rodger, richardson, 1930, june, 1993, mathematician, noted, work, representation, theory, geometry, born, baton, rouge, louisiana, educated, louisiana, state, university, harvard, university, . Not to be confused with the Australian footballer Rodger Richardson 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 Contents 1 Publications 2 See also 3 External links 4 ReferencesPublications editNijenhuis 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 editPrehomogeneous vector spaceExternal links editRoger Wolcott Richardson at the Mathematics Genealogy Project Mathematical Reviews analysisReferences 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 Retrieved from https en wikipedia org w index php title Roger Wolcott Richardson amp oldid 1210386084, wikipedia, wiki, book, books, library,
