Yu. A. Neretin, S.M. Khoroshkin
Mathematical researches of D.P. Zhelobenko
The paper is published: Russian Math. Surveys 64, no. 1 (2009) 187-198

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

22E46 Semisimple Lie groups and their representations

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods, {For the purely algebraic theory, See 20G05}

01A60 20th century

Abstract: This is a brief overview of researches of Dmitry Petrovich Zhelobenko (1934--2006).
He is the best known for his book "Compact Lie groups and their representations"
and for the classification of all irreducible representations of complex semisimple
Lie groups. We tell also on other his works, especially
on the spectral analysis of representations.


Keywords: semisimple Lie group, infinite-dimensional representation, extremal projector, intertwining operator, Lorentz group, Mickelsson algebra, dynamical Weyl group