Premium
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.