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 |
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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 |