"representation" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- Conversely, given a positive-definite function, one can define a unitary representation of G in a natural way.
- Indeed, one has the following: given a smooth representation of G, we define a new action on V:
- These give the irreducible representations of G with K not in their kernel.
- The trivial representation of G is weakly contained in the left regular representation.
- First, the representations of G are semisimple (completely reducible).
- An irreducible representation of G is completely determined by its character.
- Given a group G, representation theory then asks what representations of G exist.
- These are the continuous finite-dimensional linear representations of G on complex vector spaces.
- To each irreducible representation of G corresponds a node in .
- We say that ρ is a real representation of G if the matrices are real.
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