๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generalized Vertex Algebras Generated by Parafermion-Like Vertex Operators

โœ Scribed by Yongcun Gao; Haisheng Li


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
231 KB
Volume
240
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis


It is proved that for any vector space W, any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of Dong and Lepowsky with W as a natural module. As an application, generalized vertex algebras are constructed from the LepowskyแސWilson Z-algebras of any nonzero level.


๐Ÿ“œ SIMILAR VOLUMES


Certain Generating Subspaces for Vertex
โœ Martin Karel; Haisheng Li ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

Minimal generating subspaces of ''weak PBW type'' for vertex operator algebras are studied and a procedure is developed for finding such subspaces. As applications, some results on generalized modules are obtained for vertex operator algebras that satisfy a certain condition, and a minimal generatin

Hallโ€“Littlewood Vertex Operators and Gen
โœ Mark Shimozono; Mike Zabrocki ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

A family of vertex operators that generalizes those given by Jing for the Hall Littlewood symmetric functions is presented. These operators produce symmetric functions related to the Poincare polynomials referred to as generalized Kostka polynomials in the same way that Jing's operator produces symm

Extension of Vertex Operator Algebras by
โœ Haisheng Li ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

We prove the existence and the regularity of the extension by a self-dual simple current for certain regular vertex operator algebras.

Logarithmic residues in the Banach algeb
โœ Harm Bart; Torsten Ehrhardt; Bernd Silbermann ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 328 KB

## Abstract A logarithmic residue is a contour integral of the (left or right) logarithmic derivative of an analytic Banach algebra valued function. Logarithmic residues are intimately related to sums of idempotents. The present paper is concerned with logarithmic residues in a specific Banach alge