Infinite-dimensional classical groups of finite r-rank: Description of representations and asymptotic theory

Functional Analysis and Its Applications ◽

10.1007/bf01076358 ◽

1984 ◽

Vol 18 (1) ◽

pp. 22-34 ◽

Cited By ~ 9

Author(s):

G. I. Ol'shanskii

Keyword(s):

Asymptotic Theory ◽

Classical Groups ◽

Infinite Dimensional

Download Full-text

The small index property for infinite dimensional classical groups

Journal of Algebra ◽

10.1016/0021-8693(91)90076-k ◽

1991 ◽

Vol 136 (1) ◽

pp. 248-264 ◽

Cited By ~ 3

Author(s):

David M Evans

Keyword(s):

Classical Groups ◽

Infinite Dimensional ◽

Small Index Property ◽

Small Index

Download Full-text

Sphericity and multiplication of double cosets for infinite-dimensional classical groups

Functional Analysis and Its Applications ◽

10.1007/s10688-011-0025-6 ◽

2011 ◽

Vol 45 (3) ◽

pp. 225-239 ◽

Cited By ~ 10

Author(s):

Yu. A. Neretin

Keyword(s):

Classical Groups ◽

Double Cosets ◽

Infinite Dimensional

Download Full-text

The Cofinalities of the Infinite Dimensional Classical Groups

Journal of Algebra ◽

10.1006/jabr.1996.0032 ◽

1996 ◽

Vol 179 (3) ◽

pp. 704-719 ◽

Cited By ~ 4

Author(s):

Simon Thomas

Keyword(s):

Classical Groups ◽

Infinite Dimensional

Download Full-text

Infinite Dimensional Classical Groups

Journal of the London Mathematical Society ◽

10.1112/jlms/51.2.219 ◽

1995 ◽

Vol 51 (2) ◽

pp. 219-229 ◽

Cited By ~ 4

Author(s):

T. S. Gardener

Keyword(s):

Classical Groups ◽

Infinite Dimensional

Download Full-text

Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups

Functional Analysis and Its Applications ◽

10.1007/bf01077419 ◽

1989 ◽

Vol 22 (4) ◽

pp. 273-285 ◽

Cited By ~ 8

Author(s):

G. I. Ol'shankii

Keyword(s):

Unitary Representations ◽

Classical Groups ◽

Infinite Dimensional ◽

Holomorphic Extensions

Download Full-text

Isomorphisms of Infinite-dimensional analogues of the classical groups

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1951-09545-2 ◽

1951 ◽

Vol 57 (6) ◽

pp. 435-449 ◽

Cited By ~ 7

Author(s):

c. E. Rickart

Keyword(s):

Classical Groups ◽

Infinite Dimensional

Download Full-text

Representations of Infinite-Dimensional Classical Groups, Limits of Enveloping Algebras, and Yangians

ADVSOV - Topics in Representation Theory ◽

10.1090/advsov/002/01 ◽

1991 ◽

pp. 1-66 ◽

Cited By ~ 5

Author(s):

G. I. Olshanskii

Keyword(s):

Classical Groups ◽

Infinite Dimensional ◽

Enveloping Algebras

Download Full-text

Elementary equivalence of infinite-dimensional classical groups

Annals of Pure and Applied Logic ◽

10.1016/s0168-0072(99)00050-0 ◽

2000 ◽

Vol 105 (1-3) ◽

pp. 103-156 ◽

Cited By ~ 11

Author(s):

Vladimir Tolstykh

Keyword(s):

Classical Groups ◽

Elementary Equivalence ◽

Infinite Dimensional

Download Full-text

Holomorphic highest weight representations of infinite dimensional complex classical groups

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1998.038 ◽

1998 ◽

Vol 1998 (497) ◽

pp. 171-122 ◽

Cited By ~ 13

Author(s):

Karl-Hermann Neeb

Keyword(s):

Classical Groups ◽

Infinite Dimensional ◽

Highest Weight ◽

Highest Weight Representations

Download Full-text

Lectures on the Asymptotic Theory of Ideals

10.1017/cbo9780511525957 ◽

1988 ◽

Cited By ~ 13

Author(s):

D. Rees

Keyword(s):

Asymptotic Theory

Download Full-text