Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2006; 43(1): 29-43

Printed January 1, 2006

Copyright © The Korean Mathematical Society.

Extending representations of $H$ to $G$ with discrete $G/H$

Jin-Hwan Cho, Mikiya Masuda, and Dong Youp Suh

The University of Suwon, Osaka City University, KAIST

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

MSC numbers: Primary 20C99; Secondary 22E99

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