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Vertex operator algebras, elliptic f...

Zhu, Yongchang.

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Vertex operator algebras, elliptic functions and modular forms.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Vertex operator algebras, elliptic functions and modular forms./
Author:	Zhu, Yongchang.
Description:	87 p.
Notes:	Source: Dissertation Abstracts International, Volume: 51-07, Section: B, page: 3418.
Contained By:	Dissertation Abstracts International51-07B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9034268

Vertex operator algebras, elliptic functions and modular forms.
Zhu, Yongchang.

Vertex operator algebras, elliptic functions and modular forms. - 87 p.

Source: Dissertation Abstracts International, Volume: 51-07, Section: B, page: 3418.

Thesis (Ph.D.)--Yale University, 1990.

We construct an associative algebra Subjects--Topical Terms:

515831
Mathematics.

Vertex operator algebras, elliptic functions and modular forms.
LDR:01615nmm 2200277 4500 001 1814363
005 20060526065244.5
008 130610s1990 eng d
035 $a (UnM)AAI9034268
035 $a AAI9034268
040 $a UnM $c UnM
100 1 $a Zhu, Yongchang. $3 1903835
245 1 0 $a Vertex operator algebras, elliptic functions and modular forms.
300 $a 87 p.
500 $a Source: Dissertation Abstracts International, Volume: 51-07, Section: B, page: 3418.
500 $a Adviser: Igor B. Frenkel.
502 $a Thesis (Ph.D.)--Yale University, 1990.
520 $a We construct an associative algebra $ for each vertex operator algebra $. And we establish an one-to-one corresponding relation between irreducible $- modules and irreducible $- modules. This relation implies that $ is a semi-simple if $ is rational.
520 $a For the vertex operator algebras satisfying certain finiteness condition, we show that the $q $- traces are convergent, and use the meromorphic continuation of the limits to define the correlation functions on the torus. The properties of correlation functions on sphere are generalized to the torus case.
520 $a We define the conformal block on the torus in terms of the properties of correlation functions and prove that it is modular invariant. We give a basis of the conformal block for a class of vertex operator algebras.
590 $a School code: 0265.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a Yale University. $3 515640
773 0 $t Dissertation Abstracts International $g 51-07B.
790 1 0 $a Frenkel, Igor B., $e advisor
790 $a 0265
791 $a Ph.D.
792 $a 1990
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9034268