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19932014
most citedBraided tensor categories and extensions of vertex operator algebras

115 citations · 764 across the 40 of their papers we have counts for

collaborators

40 papers

math.CO2014★ 11 cited

Ghost series and a motivated proof of the Andrews-Bressoud identities

Shashank Kanade, James Lepowsky, Matthew C. Russell +1

We present what we call a "motivated proof" of the Andrews-Bressoud partition identities for even moduli. A "motivated proof" of the Rogers-Ramanujan identities was given by G. E.…

math.CO2014★ 5 cited

A motivated proof of the Göllnitz-Gordon-Andrews identities

Bud Coulson, Shashank Kanade, James Lepowsky +4

We present what we call a "motivated proof" of the Göllnitz-Gordon-Andrews identities. A similar motivated proof of the Rogers-Ramanujan identities was previously given by G. E. An…

math.QA2014★ 115 cited

Braided tensor categories and extensions of vertex operator algebras

Yi-Zhi Huang, Alexander Kirillov, James Lepowsky

Let be a vertex operator algebra satisfying suitable conditions such that in particular its module category has a natural vertex tensor category structure, and consequently, a…

math.QA2014★ 2 cited

Vertex-algebraic structure of principal subspaces of standard A_2^{(2)}-modules, I

Corina Calinescu, James Lepowsky, Antun Milas

Extending earlier work of the authors, this is the first in a series of papers devoted to the vertex-algebraic structure of principal subspaces of standard modules for twisted affi…

hep-th2013★ 34 cited

Tensor categories and the mathematics of rational and logarithmic conformal field theory

Yi-Zhi Huang, James Lepowsky

We review the construction of braided tensor categories and modular tensor categories from representations of vertex operator algebras, which correspond to chiral algebras in physi…

math.CO2012

A motivated proof of Gordon's identities

James Lepowsky, Minxian Zhu

We generalize the "motivated proof" of the Rogers-Ramanujan identities given by Andrews and Baxter to provide an analogous "motivated proof" of Gordon's generalization of the Roger…