EXTENSIONS OF UNBOUNDED REPRESENTATIONS

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 extension of *-representations as a generalization of induced extensions. And we show that the SCHRODINGER representation of a WEYL-algebra can be realized as a twisted extensions for any its *-subrepresentation.