Friedrich Israilewitsch Karpelewitsch

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Friedrich Israilewitsch Karpelevich ( Russian Фридрих Израилевич Карпелевич , English transcription Fridrikh Izrailevich Karpelevich ; born October 2, 1927 in Moscow ; † July 5, 2000 ) was a Russian mathematician who dealt with theories of Lie algebras , geometry.

life and work

Karpelewitsch studied from 1947 to 1952 at the Lomonossow University , where he received his doctorate in 1956 under Eugene Dynkin on Lie algebras. His dissertation received the Moscow Mathematical Society's Prize for Young Mathematicians. He was already taught by Dynkin at secondary school (which Karpelevich could only attend intermittently due to the war years) and was later a regular participant in his Moscow seminar. In 1949 he solved Andrei Kolmogorow's problem about the eigenvalues ​​of positive matrices. In the early 1950s he investigated subalgebras of semi-simple Lie algebras. Through his studies of the classification of semi-simple sub-algebras of real semi-simple Lie algebras, he became interested in symmetric spaces, one of his main areas of work. At the end of the 1950s he turned to the geometry and analysis of homogeneous manifolds, among others with Felix Berezin (special functions - zonal spherical functions - on Grassmann manifolds). In 1965 he gave a construction of the edges of symmetrical spaces of non-positive curvature, based on the study of the asymptotics of geodesics. This was used (also by Karpelewitsch) in the study of the eigenfunctions of the Laplace-Beltrami operator on symmetric spaces. In the late 1960s he turned to probability theory.

Because he was Jewish, his career in the Soviet Union was hampered in the early 1950s. He was not admitted to the doctorate at Lomonosov University, but taught at a technical school in Novocherkassk and from 1953 at the Institute of Transport Engineering in Moscow .

With Semjon Grigoryevich Gindikin , he proved the Gindikin-Karpelevich formula in the representation theory of Lie groups (c-function by Harish-Chandra ).

Alexander Kerinin is one of his doctoral candidates (doctorate at the University of Wilnius).

literature

  • SG Gindikin (editor) Lie Groups and Symmetric Spaces: In Memory of FI Karpelevich , American Mathematical Society 2003 (preface by Gindikin to Karpelevich, list of publications, memories by Dynkin)
  • Yu. M. Suhov (editor) Analytic methods in applied probability , AMS 2002

Web links

Individual evidence

  1. ↑ Friedrich Israilewitsch Karpelewitsch in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Gindikin, Karpelevich Plancherel measure for symmetric Riemannian spaces of non-positive curvature , Dokl. Akad. Nauk SSSR, 145, 1962, pp. 252-255
personal data
SURNAME Karpelewitsch, Friedrich Israilewitsch
ALTERNATIVE NAMES Karpelevich, Fridrikh Izrailevich; Карпелевич, Фридрих Израилевич (Russian)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH October 2, 1927
PLACE OF BIRTH Moscow
DATE OF DEATH July 5, 2000