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Extensions of Unbounded Representations
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AbstractInduced extensions of unbounded (non *‐preserving, in general) representations of a *‐algebra are studied and some elementary facts are shown. For further study of *‐representation of non‐commutative *‐algebra, we introduce twisted extensions of *‐representations as a generalization of induced extensions. And we show that the SCHRÖDINGER representation of a WEYL‐algebra can be realized as a twisted extensions for any its *‐subrepresentation.
Title: Extensions of Unbounded Representations
Description:
AbstractInduced extensions of unbounded (non *‐preserving, in general) representations of a *‐algebra are studied and some elementary facts are shown.
For further study of *‐representation of non‐commutative *‐algebra, we introduce twisted extensions of *‐representations as a generalization of induced extensions.
And we show that the SCHRÖDINGER representation of a WEYL‐algebra can be realized as a twisted extensions for any its *‐subrepresentation.
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