New irreducible tensor product modules for the Virasoro algebra
Abstract
In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules (λ,α,h) defined in CG, with irreducible highest weight modules V(θ,h) or with irreducible Virasoro modules Indθ(N) defined in MZ2. We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. These modules are not isomorphic to any other known irreducible Virasoro modules.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.