✦ LIBER ✦

On Free Conformal and Vertex Algebras

✍ Scribed by Michael Roitman

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 206 KB
Volume: 217
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7834

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Note on Free Bosonic Vertex Algebra an

A Note on Free Bosonic Vertex Algebra and Its Conformal Vectors

✍ Atsushi Matsuo; Kiyokazu Nagatomo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We classify all the Heisenberg and conformal vectors and we determine the full automorphism group of the free bosonic vertex algebra without gradation. To describe it we introduce a notion of inner automorphisms of a vertex algebra.

Griess Algebras and Conformal Vectors in

Griess Algebras and Conformal Vectors in Vertex Operator Algebras

✍ Masahiko Miyamoto 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We define automorphisms of vertex operator algebra using the representations of the Virasoro algebra. In particular, we show that the existence of a special 1 element, which we will call a ''rational conformal vector with central charge ,'' 2 implies the existence of an automorphism of a vertex oper

Vertex Operator Algebras and Associative

Vertex Operator Algebras and Associative Algebras

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

Vertex Algebras, Lie Algebras, and Super

Vertex Algebras, Lie Algebras, and Superstrings

✍ Nils R Scheithauer 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 379 KB

We construct Lie algebras from vertex superalgebras and study their structure. They are sometimes generalized Kac᎐Moody algebras. In some special cases we can calculate the multiplicities of the roots.

On Spinor Vertex Operator Algebras and T

On Spinor Vertex Operator Algebras and Their Modules

✍ Xiaoping Xu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 351 KB

In this paper, we first present a generator theorem and introduce an asymmetric tensor of two colored vertex operator superalgebras with the same grading and supermap. Then we give axioms which characterize a class of vertex operator superalgebras constructed from Clifford algebras. In particular, w

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