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On induced representations. (Russian) Zbl 0714.22014

A Russian translation of the talk at the conference “The mathematical heritage of H. Weyl” [Proc. Symp. Pure Math. 48, 1-13 (1988; Zbl 0657.22020)]. After telling about his contacts with H. Weyl the author outlines the development of the theory of induced representations starting with the classical Weyl character formula.
Reviewer: A.L.Onishchik

MSC:

22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
22E46 Semisimple Lie groups and their representations
01A70 Biographies, obituaries, personalia, bibliographies
58D15 Manifolds of mappings
14F40 de Rham cohomology and algebraic geometry
58A14 Hodge theory in global analysis
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