Zobrazeno 1 - 10
of 17
pro vyhledávání: '"G I Ol'shanskii"'
Publikováno v:
Russian Mathematical Surveys. 52:1335-1343
Autor:
G. I. Ol'shanskii
Publikováno v:
Journal of Soviet Mathematics. 59:1102-1107
The results of the note are inspired by the theory of representations of the infinite-dimensional classical groups. A new series of irreducible unitary representations of the group U(p,q) is described. These representations are constructed in the Gel
Autor:
G. I. Ol'shanskii
Publikováno v:
Functional Analysis and Its Applications. 15:275-285
Autor:
G. I. Ol'shanskii, M. C. Prati
Publikováno v:
Il Nuovo Cimento A. 85:1-18
We investigate a class of irreducible finite-dimensional representations of the Lie superalgebragln/m, which are constructed in terms of creation and annihilation operators acting in certain Fock superspaces. For these representations we calculate th
Autor:
G. I. Ol'shanskii
Publikováno v:
Functional Analysis and Its Applications. 12:185-195
Autor:
G. I. Ol'shanskii
Publikováno v:
Functional Analysis and Its Applications. 20:292-301
Autor:
G. I. Ol'shanskii
Publikováno v:
Functional Analysis and Its Applications. 11:26-34
Autor:
G. I. Ol'shanskii
Publikováno v:
Journal of Soviet Mathematics. 18:22-39
All unitary representations of certain “infinite-dimensional,” completely disconnected groups of type I are described.
Autor:
G. I. Ol'shanskii
Publikováno v:
Functional Analysis and Its Applications. 18:22-34
Autor:
G. I. Ol'shanskii
Publikováno v:
Journal of Soviet Mathematics. 47:2466-2473
Starting from the universal enveloping algebras u(gl(n)), n=1,2,... we construct an algebra A, which gives a realization of the Yangian Y(gl(m)) and is a “proper” way to define the universal enveloping algebra for infinite-dimensional classical L