Induction and restriction as adjoint functors on representations of locally compact groups

In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.

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Main Authors: Robert A. Bekes, Peter J. Hilton
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000067
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author Robert A. Bekes
Peter J. Hilton
author_facet Robert A. Bekes
Peter J. Hilton
author_sort Robert A. Bekes
collection DOAJ
description In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1993-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-0d8e81304da84003946c77c5d63847e42025-02-03T01:13:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-01161616610.1155/S0161171293000067Induction and restriction as adjoint functors on representations of locally compact groupsRobert A. Bekes0Peter J. Hilton1Department of Mathematics, Santa Clara University, Santa Clara 95053, CA, USADepartment of Mathematical Sciences, State University of New York at Binghamton, Binghamton 13902-6000, NY, USAIn this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.http://dx.doi.org/10.1155/S0161171293000067locally compact groupFrobenius reciprocitycategory theory.
spellingShingle Robert A. Bekes
Peter J. Hilton
Induction and restriction as adjoint functors on representations of locally compact groups
International Journal of Mathematics and Mathematical Sciences
locally compact group
Frobenius reciprocity
category theory.
title Induction and restriction as adjoint functors on representations of locally compact groups
title_full Induction and restriction as adjoint functors on representations of locally compact groups
title_fullStr Induction and restriction as adjoint functors on representations of locally compact groups
title_full_unstemmed Induction and restriction as adjoint functors on representations of locally compact groups
title_short Induction and restriction as adjoint functors on representations of locally compact groups
title_sort induction and restriction as adjoint functors on representations of locally compact groups
topic locally compact group
Frobenius reciprocity
category theory.
url http://dx.doi.org/10.1155/S0161171293000067
work_keys_str_mv AT robertabekes inductionandrestrictionasadjointfunctorsonrepresentationsoflocallycompactgroups
AT peterjhilton inductionandrestrictionasadjointfunctorsonrepresentationsoflocallycompactgroups