Rationality, regularity, and ₂-cofiniteness

By T. Abe, G. Buhl, C. Dong. 2003

105 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ef1e0ba9538984a7628d24d856b8ef348d3a05de

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Geoffrey Mason
2. C. Lam
3. Yi-Zhi Huang
4. H. Yamauchi
5. C. Dong
6. T. Creutzig
7. T. Arakawa
8. Masahiko Miyamoto

In Geometry and Topology

1. Geoffrey Mason
2. C. Lam
3. Yi-Zhi Huang
4. H. Yamauchi
5. C. Dong
6. T. Creutzig
7. T. Arakawa
8. F. Pellarin

In Mathematical Physics

1. Yi-Zhi Huang
2. Geoffrey Mason
3. C. Dong
4. T. Creutzig
5. F. Pellarin
6. Siu-Hung Ng
7. C. Franc

Citations in the corpus

• Representation theory of W-algebras (2005, unknown): “3This should not confused with the notion of admissible modules in the theory of vertex algebras [1], which also appears in this paper.”
• Integrability of C2-cofinite vertex operator algebras (2006, background): “Interestingly, one of the basic features of C2-cofinite vertex operator algebras, namely that they possess a PBW-type spanning set with the nonrepeat condition ([GN], [B], [ ABD ]), was not discovered until several years after the publication of Zhu’s paper.”
• On the Structure of Framed Vertex Operator Algebras and Their Pointwise Frame Stabilizers (2006, background): “Proposition 2.3. ([ ABD , DM2, L3, Y1]) Let V 0 be a simple rational C2-cofinite VOA of CFT type.”
• RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES (2005, background): “of Li [Li] and Abe-Buhl-Dong [ ABD ], Conditions (ii) and (iii) are equivalent to a single condition that every weak V -module is completely reducible.”