Induced Representations of Locally Compact Groups II. The Frobenius Reciprocity Theorem

1953 ◽  
Vol 58 (2) ◽  
pp. 193 ◽  
Author(s):  
George W. Mackey
Keyword(s):  
Reciprocity Theorem ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Frobenius Reciprocity ◽  
Induced Representations

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

1993 ◽  
Vol 16 (1) ◽  
pp. 61-66
Author(s):  
Robert A. Bekes ◽  
Peter J. Hilton
Keyword(s):  
Reciprocity Theorem ◽  
Point Of View ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Adjoint Functors ◽  
Locally Compact ◽  
Frobenius Reciprocity ◽  
Theoretic Point

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

Holomorphic and abstract inducing

1984 ◽  
Vol 96 (3) ◽  
pp. 453-468 ◽  
Author(s):  
K. C. Hannabuss
Keyword(s):  
Hilbert Spaces ◽  
Reproducing Kernel ◽  
Reproducing Kernel Hilbert Spaces ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Induced Representations ◽  
Projective Representations ◽  
Kernel Hilbert Spaces ◽  
Cohomology Spaces

AbstractA method of constructing projective representations of separable locally compact groups in reproducing kernel Hilbert spaces is presented, based on the generalized inducing process of Rieffel and Fell. Examples show that the method can be used to construct some well-known holomorphically induced representations. Some representations on cohomology spaces are also described.

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