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Publications Influence

DISCRETE SYMMETRY OPERATORS FOR REDUCTIVE LIE GROUPS

- D. Želobenko
- Mathematics
- 31 October 1976

In this paper a description is given of a family of homomorphisms of elementary G-modules (where G is a semisimple connected Lie group) called discrete symmetry operators. Groups of rank 1 are… Expand

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Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974

- D. V. Anosov, Ja. Barzdin, +17 authors D. Želobenko
- History
- 1977

1

HARMONIC ANALYSIS OF FUNCTIONS ON SEMISIMPLE LIE GROUPS. II

- D. Želobenko
- Mathematics
- 31 December 1969

A theory of harmonic analysis is developed for the class of functions (fundamental and generalized) with compact support on an arbitrary semisimple complex connected Lie group. Duality theorems are… Expand

27

The Analysis of Irreducibility in the Class of Elementary Representations of a Complex Semisimple Lie Group

- D. Želobenko
- Mathematics
- 28 February 1968

We study the class of "elementary" representations for a complex semisimple Lie group, obtained by analytic continuation from the Gel'fand-Naĭmark "fundamental series." We establish necessary and… Expand

22

OPERATIONAL CALCULUS ON A COMPLEX SEMISIMPLE LIE GROUP

- D. Želobenko
- Mathematics
- 31 October 1969

For every complex semisimple Lie algebra we construct a so-called operational calculus, which consists in the isomorphic embedding of along with its associative hull into a certain algebra of… Expand

13

CLASSIFICATION OF EXTREMALLY IRREDUCIBLE AND NORMALLY IRREDUCIBLE REPRESENTATIONS OF SEMISIMPLE COMPLEX CONNECTED LIE GROUPS

- D. Želobenko
- Mathematics
- 30 June 1971

A new concept of "extremal irreducibility" for representations of Lie groups in separable locally convex spaces is introduced. All extremally irreducible representations of semisimple complex Lie… Expand

3

A DESCRIPTION OF THE QUASI-SIMPLE IRREDUCIBLE REPRESENTATIONS OF THE GROUPS U(n, 1) AND Spin(n, 1)

- D. Želobenko
- Mathematics
- 28 February 1977

This article deals with a family of elementary G-modules E(σ), where G is either one of the groups U(n,1), with n > 1, or one of the groups Spin(n, 1), with n > 2. A description is given of all of… Expand

2

DESCRIPTION OF THE COMPLETELY IRREDUCIBLE REPRESENTATIONS OF A COMPLEX SEMISIMPLE LIE GROUP

- D. Želobenko, M. Naimark
- Mathematics
- 28 February 1970

We give a complete description (up to a certain equivalence) of all the completely irreducible representations of a connected complex semisimple Lie group in separated complete (at least… Expand

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