Generalized Vertex Algebras

2006/02/04 by Bojko Bakalov, Bakalov, Bojko, Victor G. Kač +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/0602072

23 pages, in "Lie theory and its applications in physics VI," ed. V.K. Dobrev et al., Heron Press, Sofia, 2006

arxiv created 2006/02/04 · openalex publication_date 2006/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a short introduction to generalized vertex algebras, using the notion of polylocal fields. We construct a generalized vertex algebra associated to a vector space h with a symmetric bilinear form. It contains as subalgebras all lattice vertex algebras of rank equal to dim h and all irreducible representations of these vertex algebras.

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