✦ LIBER ✦

q-discriminants and Vertex Operators

✍ Scribed by Mourad E.H. Ismail; Naihuan Jing

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 124 KB
Volume: 27
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.2001.0745

No coin nor oath required. For personal study only.

✦ Synopsis

Discriminants and their discrete and q-analogs are usually studied in the q-analysis theory. In this paper we propose a unified realization of discriminants using vertex operators coming from infinite dimensional Lie algebras and their quantum deformations as well as Yangian deformations. In this picture all of them appear as matrix coefficients of certain products of vertex operators according to respective cases.

📜 SIMILAR VOLUMES

A Hamming Code Vertex Operator Algebra a

A Hamming Code Vertex Operator Algebra and Construction of Vertex Operator Algebras

✍ Masahiko Miyamoto 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 173 KB

## DEDICATED TO PROFESSOR MICHIO SUZUKI ON HIS 70TH BIRTHDAY ␣qD D Ž . Condition S M = U is irreducible for any irreducible M -mod-␣qD D ule U. Here M = U denotes a fusion product or a tensor product. They ␣qD both are the same in this paper since we will treat only rational VOAs. As

Universal Simple Current Vertex Operator

Universal Simple Current Vertex Operators

✍ Jürgen Fuchs 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 362 KB

We construct a vertex operator realization for the simple current primary fields of WZW theories which are based on simply laced affine Lie algebras g. This is achieved by employing an embedding of the integrable highest weight modules of g into the Fock space for a bosonic string compactified on th

Generalized Vertex Algebras Generated by

Generalized Vertex Algebras Generated by Parafermion-Like Vertex Operators

✍ Yongcun Gao; Haisheng Li 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 231 KB

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 Lepowsky

Inverse Operators, q-Fractional Integral

Inverse Operators, q-Fractional Integrals, and q-Bernoulli Polynomials

✍ Mourad E.H. Ismail; Mizan Rahman 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 240 KB

Vertex Operator Algebras and Associative

Vertex Operator Algebras and Associative Algebras

✍ Chongying Dong; Haisheng Li; Geoffrey Mason 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 303 KB

Ternary Codes and Vertex Operator Algebr

Ternary Codes and Vertex Operator Algebras

✍ Masaaki Kitazume; Masahiko Miyamoto; Hiromichi Yamada 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 175 KB