Verma modules over deformed generalized Heisenberg-Virasoro algebras

Verma modules over the generalized Heisenberg-Virasoro algebra

For any additive subgroup G of an arbitrary field F of characteristic zero, there corresponds a generalized Heisenberg-Virasoro algebra L[G]. Given a total order of G compatible with its group structure, and any h, hI , c, cI , cLI ∈ F, a Verma module M̃(h, hI , c, cI , cLI) over L[G] is defined. In the this note, the irreducibility of Verma modules M̃(h, hI , c, cI , cLI) is completely determined.

Generalized Verma Modules

Harish-chandra Modules over the Twisted Heisenberg-virasoro Algebra

In this paper, we classify all indecomposable Harish-Chandra modules of the intermediate series over the twisted Heisenberg-Virasoro algebra. Meanwhile, some bosonic modules are also studied.

The Generalized Heisenberg - Virasoro algebra ∗

In this paper, we mainly study the generalized Heisenberg-Virasoro algebra. Some structural properties of the Lie algebra are obtained.

Pathspace Decompositions for the Virasoro Algerba and Its Verma Modules

Starting from a detailed analysis of the structure of pathspaces of the A-fusion graphs and the corresponding irreducible Virasoro algebra quotients V (c, h) for the (2, q odd) models, we introduce the notion of an admissible pathspace representation. The pathspaces PA over the A-Graphs are isomorphic to the pathspaces over Coxeter A-graphs that appear in FB models. We give explicit constructio...