Zobrazeno 1 - 10
of 12
pro vyhledávání: '"D. P. Želobenko"'
Autor:
D. P. Želobenko
The content of this book is somewhat different from that of traditional books on representation theory. First, bearing in mind the needs of physicists, the author has tried to make the exposition as elementary as possible. The need for an elementary
Autor:
D. V. Anosov, Ja. M. Barzdin′, E. B. Dynkin, V. V. Filippov, B. V. Gnedenko, A. A. Karacuba, N. P. Korneĭcuk, A. F. Leont′ev, G. A. Margulis, V. D. Mazurov, N. N. Nehorošev, V. P. Platonov, S. S. Ryškov, A. A. Samarskiĭ, S. A. Stepanov, A. I. Subbotin, A. G. Svešnikov, M. I. Višik, V. E. Voskresenskiĭ, D. P. Želobenko
Autor:
D. P. Želobenko
Publikováno v:
Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974. :59-64
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb8e87fe8b16dd652a0db5a82f0386f1
https://doi.org/10.1090/trans2/109/10
https://doi.org/10.1090/trans2/109/10
Autor:
D P Želobenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 10:1003-1029
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 considered in greatest detail.Bibliography: 13 titles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdeece4103d4ba1b098dc10cab770afb
https://doi.org/10.1070/im1976v010n05abeh001823
https://doi.org/10.1070/im1976v010n05abeh001823
Autor:
D P Želobenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 11:31-50
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 the submodules of E(σ); in addition, these submodul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1df6b938ef985b2115e1d824905e8f2
https://doi.org/10.1070/im1977v011n01abeh001692
https://doi.org/10.1070/im1977v011n01abeh001692
Autor:
D P Želobenko, M A Naĭmark
Publikováno v:
Mathematics of the USSR-Izvestiya. 4:59-83
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 sequentially) locally convex spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4148642f1a85fd1bfde1e7979ca48e0
https://doi.org/10.1070/im1970v004n01abeh000879
https://doi.org/10.1070/im1970v004n01abeh000879
Autor:
D P Želobenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 3:1183-1217
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 proved for the linear topological spaces of finite f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::faa1f505155a73960a89d17c5902127a
https://doi.org/10.1070/im1969v003n06abeh000840
https://doi.org/10.1070/im1969v003n06abeh000840
Autor:
D P Želobenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 2:105-128
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 sufficient conditions for the irreducibility of these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1485804019ecf5ca19e861a424a3ba5f
https://doi.org/10.1070/im1968v002n01abeh000633
https://doi.org/10.1070/im1968v002n01abeh000633
Autor:
D P Želobenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 5:589-613
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 groups are classified to within equivalence, i.e. to w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e029b4b93bfc430a09059e2d9a10e73
https://doi.org/10.1070/im1971v005n03abeh001080
https://doi.org/10.1070/im1971v005n03abeh001080