The Automorphism Group of the Vertex Operator Algebra V_L⁺ for an even lattice L without roots

2003/11/10 by Hiroki Shimakura, Shimakura, Hiroki · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #math.GR #math.QA

paper · pdf · doi:10.48550/arxiv.math/0311141

29 pages

openalex publication_date 2003/11/10 · arxiv created 2004/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The automorphism group of the vertex operator algebra V_L⁺ is studied by using its action on isomorphism classes of irreducible V_L⁺-modules. In particular, the shape of the automorphism group of V_L⁺ is determined when L is isomorphic to an even unimodular lattice without roots, √2R for an irreducible root lattice R of type ADE and the Barnes-Wall lattice of rank 16.

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