Subrepresentation of a representation
From Encyclopedia of Mathematics
A linear representation 
in an invariant subspace 
of a representation 
of a group (algebra, ring or semi-group) 
in a (topological) vector space 
defined by the formula 
for all 
, 
. If 
is a continuous representation (of a topological group, algebra, ring, or semi-group), then any subrepresentation of it is also continuous.
How to Cite This Entry:
Subrepresentation of a representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Subrepresentation_of_a_representation&oldid=16384
Subrepresentation of a representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Subrepresentation_of_a_representation&oldid=16384
This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article