JOURNAL BROWSE
Search
Advanced SearchSearch Tips
EXTENDING REPRESENTATIONS OF H TO G WITH DISCRETE G/H
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
EXTENDING REPRESENTATIONS OF H TO G WITH DISCRETE G/H
CHO JIN-HWAN; MASUDA MIKIYA; SUH DONG YOUP;
  PDF(new window)
 Abstract
The article deals with the problem of extending representations of a closed normal subgroup H to a topological group G. We show that the standard technique using group cohomology to solve the problem in the case of finite groups can be generalized in the category of topological groups if G/H is discrete.
 Keywords
extensions of representations;topological group;group cohomology;
 Language
English
 Cited by
 References
1.
D. J. Benson, Representations and cohomology. I. Basic representation theory of finite groups and associative algebras, Cambridge Studies in Advanced Mathematics, 30. Cambridge University Press, Cambridge, 1991

2.
T. Brocker and T. tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics, 98. Springer-Verlag, New York, 1985

3.
K. S. Brown, Cohomology of groups, Graduate Texts in Mathematics, 87. Springer-Verlag, New York-Berlin, 1982

4.
J. -H. Cho, S. S. Kim, M. Masuda, and D. Y. Suh, Classification of equivariant complex vector bundles over a circle, J. Math. Kyoto Univ. 41 (2001), no. 3, 517-534

5.
J. -H. Cho, S. S. Kim, M. Masuda, and D. Y. Suh, Classification of equivariant real vector bundles over a circle, J. Math. Kyoto Univ. 42 (2002), no. 2, 223-242

6.
J. -H. Cho, M. K. Kim, and D. Y. Suh, On extensions of representations for compact Lie groups, J. Pure Appl. Algebra, 178 (2003), no. 3, 245-254 crossref(new window)

7.
A. H. Clifford, Representations induced in an invariant subgroup, Ann. of Math.(2) 38 (1937), no. 3, 533-550 crossref(new window)

8.
K. H. Hofmann and S. A. Morris, The structure of compact groups, A primer for the student-a handbook for the expert. de Gruyter Studies in Mathematics, 25. Walter de Gruyter & Co., Berlin, 1998

9.
I. M. Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69. Academic Press, New York-London, 1976

10.
I. M. Isaacs, Extensions of group representations over arbitrary fields, J. Algebra 68 (1981), no. 1, 54-74 crossref(new window)

11.
L. S. Pontryagin, Topological groups, Translated from the second Russian edition by Arlen Brown Gordon and Breach Science Publishers, Inc., New York-London-Paris, 1966