Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Kernels of representations and group extensions

Author: I. Schochetman
Journal: Proc. Amer. Math. Soc. 36 (1972), 564-570
MSC: Primary 22D10
MathSciNet review: 0320222
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We first determine the kernels of those unitary representations of a locally compact group which are obtained by integrating, inducing and tensoring. We then describe a broad class of group extensions for which the previous results can be used to find (1) the kernel of any representation and (2) necessary and sufficient conditions for these extensions to be maximally almost periodic.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22D10

Retrieve articles in all journals with MSC: 22D10

Additional Information

Keywords: Locally compact group, unitary representation, kernel of a representation, direct integral representation, induced representation, tensor product representation, projective representation, group extension, central extension, maximally almost periodic
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society