Extensions of Unbounded Representations | Zendy

Inoue Atsushi | Zendy; Kurose Hideki | Zendy; Ǒta Schǒichi | Zendy

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Extensions of Unbounded Representations

Author(s) -

Inoue Atsushi,

Kurose Hideki,

Ǒta Schǒichi

Publication year - 1992

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19921550118

Subject(s) - mathematics , algebra over a field , representation (politics) , generalization , commutative property , pure mathematics , algebra representation , trivial representation , mathematical analysis , politics , political science , law

Induced 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 S CHRÖDINGER representation of a W EYL ‐algebra can be realized as a twisted extensions for any its *‐subrepresentation.

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