Rationality, regularity, and 𝐶₂-cofiniteness-Reference-Cited by-同舟云学术

Rationality, regularity, and 𝐶₂-cofiniteness

Published:2003-12-15 Issue:8 Volume:356 Page:3391-3402
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Abe Toshiyuki,Buhl Geoffrey,Dong Chongying

Abstract

We demonstrate that, for vertex operator algebras of CFT type, C 2 C_2 -cofiniteness and rationality is equivalent to regularity. For C 2 C_2 -cofinite vertex operator algebras, we show that irreducible weak modules are ordinary modules and C 2 C_2 -cofinite, V L + V_L^+ is C 2 C_2 -cofinite, and the fusion rules are finite.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-08/S0002-9947-03-03413-5/S0002-9947-03-03413-5.pdf

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