Transactions of the American Mathematical Society

Author(s): Toshiyuki Abe; Geoffrey Buhl; Chongying Dong
Journal: Trans. Amer. Math. Soc. 356 (2004), 3391-3402.
MSC (2000): Primary 17B69
Posted: December 15, 2003
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Abstract: We demonstrate that, for vertex operator algebras of CFT type,

-cofiniteness and rationality is equivalent to regularity. For

-cofinite vertex operator algebras, we show that irreducible weak modules are ordinary modules and

-cofinite,

-cofinite, and the fusion rules are finite.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 17B69

Toshiyuki Abe
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan
Address at time of publication: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan
Email: sm3002at@ecs.cmc.osaka-u-ac.jp, abe@ms.u-tokyo.ac.jp

Geoffrey Buhl
Affiliation: Department of Mathematics, University of California Santa Cruz, Santa Cruz, California 95064
Address at time of publication: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
Email: gwbuhl@math.ucsc.edu, gbuhl@math.rutgers.edu

Chongying Dong
Affiliation: Department of Mathematics, University of California Santa Cruz, Santa Cruz, California 95064
Email: dong@math.ucsc.edu

DOI: 10.1090/S0002-9947-03-03413-5
PII: S 0002-9947(03)03413-5
Received by editor(s): May 30, 2002
Received by editor(s) in revised form: May 15, 2003
Posted: December 15, 2003
Additional Notes: The first author was supported by JSPS Research Fellowships for Young Scientists.
The second author was supported by NSF grant DMS-9987656 and a research grant from the Committee on Research, UC Santa Cruz.
Copyright of article: Copyright 2003, American Mathematical Society

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