Moonshine forms a way of explaining the mysterious connection between the monster finite
group and modular functions from classical number theory. The theory has evolved to …

We use Block's results to classify irreducible modules over the differential operator algebra
C [t, t− 1, ddt]. From modules A over C [t, t− 1, ddt] and using the “twisting technique” we …

This paper classifies irreducible Harish-Chandra modules over the loop-Virasoro algebra,
which turn out to be highest weight modules, lowest weight modules and evaluation …

We define a category of bounded modules for the full toroidal Lie algebra, classify
irreducible modules in this category, and give their explicit vertex operator realizations …

For a simple module M over the positive part of the Virasoro algebra (actually for any simple
module over some finite dimensional solvable Lie algebras ar) and any α∈ C, a class of …

In this paper, we obtain a class of Virasoro modules by taking tensor products of a finite
number of irreducible Virasoro modules of the form Ω (λ i, ai) defined in [19] with irreducible …

We study a four-dimensional domain wall in twisted M-theory. The domain wall is
engineered by intersecting D6 branes in the type IIA frame. We identify the classical algebra …

In this paper, we study some non-weight modules over the loop-Virasoro algebra L and
Block type Lie algebras B (q), where q is a nonzero complex number. Those modules when …

arXiv:hep-th/9703002v1 28 Feb 1997 Page 1 arXiv:hep-th/9703002v1 28 Feb 1997 Principal
Vertex Operator Representations For Toroidal Lie Algebras Yuly Billig * Department of …

In this paper, we obtain a class of irreducible Virasoro modules by taking tensor products of
the irreducible Virasoro modules Ω (λ, b) Ω(λ,b) with irreducible highest weight modules V …