unitary representation
Let be a topological group. A unitary representation
of
is a pair where is a Hilbert space
and
is a homomorphism
such that
the mapping of that sends to
is continuous. Here denotes the set of unitary operators
of .
The group is said to act unitarily on or sometimes,
is said to act by unitary representation on .
Title | unitary representation |
---|---|
Canonical name | UnitaryRepresentation |
Date of creation | 2013-03-22 16:51:45 |
Last modified on | 2013-03-22 16:51:45 |
Owner | Mathprof (13753) |
Last modified by | Mathprof (13753) |
Numerical id | 4 |
Author | Mathprof (13753) |
Entry type | Definition |
Classification | msc 20C35 |
Related topic | IrreducibleUnitaryRepresentationsOfCompactGroupsAreFiniteDimensional |