Supports of Weight Modules over Witt Algebras

J un 2 00 9 SUPPORTS OF WEIGHT MODULES OVER WITT ALGEBRAS

In this paper, as the first step towards classification of simple weight modules with finite dimensional weight spaces over Witt algebras Wn, we explicitly describe supports of such modules. We also obtain some descriptions on the support of an arbitrary simple weight module over a Z-graded Lie algebra g having a root space decomposition ⊕α∈Zngα with respect to the abelian subalgebra g0, with t...

Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras

We classify the Harish-Chandra modules over the higher rank Virasoro and super-Virasoro algebras: It is proved that a Harish-Chandra module, i.e., an irreducible weight module with finite weight multiplicities, over a higher rank Virasoro or super-Virasoro algebra is a module of the intermediate series. As an application, it is also proved that an indecomposable weight module with finite weight...

Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras

In this paper, by using the sequence of adjointable operators from pro-C*-algebra $ mathcal{A} $ into a Hilbert $ mathcal{A} $-module $ E $. We introduce frames with bounds in pro-C*-algebra $ mathcal{A} $. New frames in Hilbert modules over pro-C*-algebras are called standard $ ast $-frames of multipliers. Meanwhile, we study several useful properties of standard $ ast $-frames in Hilbert modu...

On the Finsler modules over H-algebras

In this paper, applying the concept of generalized A-valued norm on a right $H^*$-module and also the notion of ϕ-homomorphism of Finsler modules over $C^*$-algebras we first improve the definition of the Finsler module over $H^*$-algebra and then define ϕ-morphism of Finsler modules over $H^*$-algebras. Finally we present some results concerning these new ones.

Fusion frames in Hilbert modules over pro-C*-algebras