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词条 Robert Moody
释义

  1. Selected works

  2. Notes

  3. References

{{For|those of a similar name|Robert Moodie (disambiguation)}}{{Infobox scientist
| name = Robert Moody
| image = Moody Baake.jpg
| image_size =
| caption = Robert Moody (left)
| birth_date = {{Birth date and age|1941|11|28|mf=y}}
| birth_place =
| death_date =
| death_place =
| nationality = Canadian
| fields = Mathematics
| workplaces = University of Saskatchewan
University of Alberta
| alma_mater = University of Toronto
| doctoral_advisor = Maria Wonenburger
| doctoral_students = Arturo Pianzola
| known_for =
| awards = Coxeter–James Prize (1978)
Wigner Medal (1996)
CRM-Fields-PIMS prize (1998)
}}

Robert Vaughan Moody, {{Post-nominals|country=CAN|OC|FRSC}} ({{IPAc-en|ˈ|m|uː|d|i}}; born November 28, 1941) is a Canadian mathematician. He is the co-discover of Kac–Moody algebra,[1] a Lie algebra, usually infinite-dimensional, that can be defined through a generalized root system.

"Almost simultaneously in 1967, Victor Kac in the USSR and Robert Moody in Canada developed what was to become Kac-Moody algebra. Kac and Moody noticed that if Wilhelm Killing's conditions were relaxed, it was still possible to associate to the Cartan matrix a Lie algebra which, necessarily, would be infinite dimensional." - A.J. Coleman[2]

Born in Great Britain, he received a Bachelor of Arts in Mathematics in 1962 from the University of Saskatchewan, a Master of Arts in Mathematics in 1964 from the University of Toronto, and a Ph.D. in Mathematics in 1966 from the University of Toronto.

In 1966, he joined the Department of Mathematics as an assistant professor in the University of Saskatchewan. In 1970, he was appointed an associate professor and a professor in 1976. In 1989, he joined the University of Alberta as a professor in the Department of Mathematics.

In 1999, he was made an Officer of the Order of Canada.[3] In 1980, he was made a fellow of the Royal Society of Canada. In 1996 Moody and Kac were co-winners of the Wigner Medal.[4]

Selected works

  • {{cite journal|title=Lie algebras associated with generalized Cartan matrices|journal=Bull. Amer. Math. Soc.|year=1967|volume=73|issue=2|pages=217–222|mr=0207783|doi=10.1090/s0002-9904-1967-11688-4}}
  • {{cite journal|title=Macdonald identities and Euclidean Lie algebras|journal=Proc. Amer. Math. Soc.|year=1975|volume=48|issue=1|pages=43–52|mr=0442048|doi=10.1090/s0002-9939-1975-0442048-2}}
  • with S. Berman: {{cite journal|title=Lie algebra multiplicities|journal=Proc. Amer. Math. Soc.|year=1979|volume=76|issue=2|pages=223–228|mr=537078|doi=10.1090/s0002-9939-1979-0537078-x}}
  • with J. Patera: {{cite journal|title=Fast recursion formula for weight multiplicities|journal=Bull. Amer. Math. Soc. (N.S.)|volume=7|issue=1|year=1982|pages=237–242|url=http://www.ams.org/journals/bull/1982-07-01/S0273-0979-1982-15021-2|mr=656202|doi=10.1090/s0273-0979-1982-15021-2}}
  • with Bremner & Patera: Tables of weight space multiplicities, Marcel Dekker 1983
  • with A. Pianzola: {{cite journal|title=On infinite root systems|journal=Trans. Amer. Math. Soc.|year=1989|volume=315|issue=2|pages=661–696|mr=964901|doi=10.1090/s0002-9947-1989-0964901-8}}
  • with S. Kass, J. Patera, & R. Slansky: Affine Lie Algebras, weight multiplicities and branching rules, 2 vols., University of California Press 1991 [https://books.google.com/books?id=dEPg77gKopoC vol. 1 books.google]
  • with Pianzola: Lie algebras with triangular decompositions, Canadian Mathematical Society Series, John Wiley 1995[5]
  • with Baake & Grimm: Die verborgene Ordnung der Quasikristalle, Spektrum, Feb. 2002; [https://arxiv.org/abs/math/0203252 What is Aperiodic Order?, Eng. trans. on arxiv.org]

Notes

1. ^Stephen Berman, Karen Parshall Victor Kac and Robert Moody — their paths to Kac–Moody-Algebras, Mathematical Intelligencer, 2002, Nr.1[https://www.academia.edu/20121772/Victor_kac_and_robert_moody_their_paths_to_kac-moody_lie_algebras]
2. ^Coleman, A. John, "The Greatest Mathematical Paper of All Time," The Mathematical Intelligencer, vol. 11, no. 3, pp. 29–38.
3. ^{{cite news|title=Robert V. Moody Appointed Officer of the Order of Canada|newspaper=Newsletter of the Pacific Institute for the Mathematical Sciences|date=Winter 2000|volume=4|issue=1|page=1|url=http://media.pims.math.ca/newsletter/pdf/4.1.pdf}}
4. ^{{cite journal|author=Jackson, Allyn|title=Kac and Moody Receive Wigner Medal|journal=Notices of the AMS|date=Dec 1995|volume=42|issue=12|pages=1543–1544|url=http://www.ams.org/notices/199512/people.pdf}}
5. ^{{cite journal|author=Seligman, George B.|authorlink=George Seligman|title=Review: Lie algebras with triangular decompositions, by Robert B. Moody and Arturo Pianzola|journal=Bull. Amer. Math. Soc. (N.S.)|year=1996|volume=33|issue=3|pages=347–349|url=http://www.ams.org/journals/bull/1996-33-03/S0273-0979-96-00653-2/S0273-0979-96-00653-2.pdf|doi=10.1090/s0273-0979-96-00653-2}}

References

  • {{MathGenealogy |id=16126 }}
  • {{cite web|url=http://www.math.ualberta.ca/~rvmoody/rvm/|title=Robert Vaughan Moody's Home Page}}
  • {{cite web|url=http://www.math.ualberta.ca/~rvmoody/rvm/rvmcv.html|title=Robert Vaughan Moody Curriculum Vitae|accessdate=March 7, 2006}}
{{Authority control}}{{DEFAULTSORT:Moody, Robert}}

10 : 1941 births|Living people|British emigrants to Canada|Canadian mathematicians|Fellows of the Royal Society of Canada|Officers of the Order of Canada|University of Toronto alumni|University of Alberta faculty|University of Saskatchewan faculty|University of Saskatchewan alumni

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