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19972009
most citedLogarithmic tensor product theory for generalized modules for a conformal vertex algebra, Part I

64 citations · 94 across the 11 of their papers we have counts for

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21 papers · 1 filter

math.QA2009

Representations of vertex operator algebras and braided finite tensor categories

Yi-Zhi Huang

We discuss what has been achieved in the past twenty years on the construction and study of a braided finite tensor category structure on a suitable module category for a suitable…

math.QA20073 cited

Cofiniteness conditions, projective covers and the logarithmic tensor product theory

Yi-Zhi Huang

We construct projective covers of irreducible V-modules in the category of grading-restricted generalized V-modules when V is a vertex operator algebra satisfying the following con…

math.QA200711 cited

Logarithmic tensor product theory for generalized modules for a conformal vertex algebra

Yi-Zhi Huang, James Lepowsky, Lin Zhang

We generalize the tensor product theory for modules for a vertex operator algebra previously developed in a series of papers by the first two authors to suitable module categories…

math.QA200664 cited

Logarithmic tensor product theory for generalized modules for a conformal vertex algebra, Part I

Yi-Zhi Huang, James Lepowsky, Lin Zhang

We generalize the tensor product theory for modules for a vertex operator algebra previously developed in a series of papers by the first two authors to suitable module categories…

math.QA2006

An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras

Katrina Barron, Yi-Zhi Huang, James Lepowsky

The problem of constructing twisted modules for a vertex operator algebra and an automorphism has been solved in particular in two contexts. One of these two constructions is that…

math.QA2005

Full field algebras

Yi-Zhi Huang, Liang Kong

We solve the problem of constructing a genus-zero full conformal field theory (a conformal field theory on genus-zero Riemann surfaces containing both chiral and antichiral parts)…