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http://dx.doi.org/10.4134/JKMS.2006.43.1.029

EXTENDING REPRESENTATIONS OF H TO G WITH DISCRETE G/H  

CHO JIN-HWAN (Department of Mathematics The University of Suwon)
MASUDA MIKIYA (Department of Mathematics Osaka City University)
SUH DONG YOUP (Department of Mathematics Korea Advanced Institute of Science and Tehcnology)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 29-43 More about this Journal
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;
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1 A. H. Clifford, Representations induced in an invariant subgroup, Ann. of Math.(2) 38 (1937), no. 3, 533-550   DOI
2 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
3 I. M. Isaacs, Extensions of group representations over arbitrary fields, J. Algebra 68 (1981), no. 1, 54-74   DOI
4 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
5 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   DOI
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   DOI   ScienceOn
7 I. M. Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69. Academic Press, New York-London, 1976
8 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
9 T. Brocker and T. tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics, 98. Springer-Verlag, New York, 1985
10 K. S. Brown, Cohomology of groups, Graduate Texts in Mathematics, 87. Springer-Verlag, New York-Berlin, 1982
11 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   DOI