Meromorphic tensor categories

1997/09/19 by Yan Soibelman, Soibelman, Yan · 3 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9709030

openalex publication_date 1997/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of meromorphic tensor category and illustrate it in several examples. They include representations of quantum affine algebras, chiral algebras of Beilinson and Drinfeld, G-vertex algebras of Borcherds, and representations of GL over a local field. Hopefully the formalism will accomodate various tensor structures arising in relation to the quantized Knizhnik-Zamolodchikov equations and deformed CFT

Citations

• Classical and quantum conformal field theory

Cited by

• Generalized Enrichment for Categories and Multicategories
• Equivalence of Borcherds G-Vertex Algebras and Axiomatic Vertex Algebras
• Structures in higher-dimensional category theory

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