Let (M, g) be a compact Riemannian manifold of dimension n (n ≥ 3) with smooth boundary. In [LZ], we established some sharp trace inequality on (M, g). In this paper we establish some sharp Sobolev… (More)

Let G be a simple complex Lie group with Lie algebra g and let ĝ be the affine Lie algebra. We use intertwining operators and Knizhnik-Zamolodchikov equations to construct a family of N-graded vertex… (More)

We study the bimodule structure of the quantum function algebra at roots of 1 and prove that it admits an increasing filtration with factors isomorphic to the tensor products of the dual of Weyl… (More)

The aim of this paper is to give a proof of a conjecture stated in a previous paper by the author ([Z1]). Let g be a simple complex Lie algebra, ĝ be the affine Lie algebra and h∨ be the dual Coxeter… (More)

Let g be a simple complex Lie algebra, ĝ be the affine Lie algebra. The aim of this paper is to study a one-parameter family of vertex operator algebras associated to g, which have the structure of ĝ… (More)

The aim of this paper is to give a proof of a conjecture stated in a previous paper by the author. We prove the existence of certain filtrations, in the case of rational central charges, for the… (More)

The aim of this paper is to give a proof of a conjecture stated in a previous paper by the author ([Z1]). Let g be a simple complex Lie algebra, Ag,k be the vertex algebroid associated to g and a… (More)

NF-IL6 (or C/EBP beta) is a multifunctional transcription factor of the C/EBP family. To study the effects of exogenous expression of NF-IL6 on the growth of cells of hematopoietic tumors, we… (More)