1. θ-Unitary representations for the W -algebra W (2,2).
- Author
-
Zhang, Xiufu and Tan, Shaobin
- Subjects
- *
UNITARY operators , *ALGEBRA , *MATHEMATICAL series , *MODULES (Algebra) , *MATHEMATICAL analysis , *HILBERT space - Abstract
In this article, conjugate-linear anti-involutions and θ-unitary Harish-Chandra modules over the W-algebra W(2,2) are studied. It is proved that there are only two classes that conjugate-linear anti-involutions over W(2,2). The main result of this article is that a θ-unitary Harish-Chandra module over the W-algebra W(2,2) is simply a -unitary Harish-Chandra module over the Virasoro algebra and hence is either a simple highest or lowest weight module or a simple module from the intermediate series of the form A a,b for some [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF