The automorphism groups of the vertex operator algebras \(V^+_L\): general case

DOI10.1007/s00209-005-0890-xzbMath1092.17017arXivmath/0507255OpenAlexW1995972748MaRDI QIDQ818786

Hiroki Shimakura

Publication date: 21 March 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507255

zbMATH Keywords

vertex operator algebrasautomorphism groupsfixed point vertex operator subalgebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (9)

Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the \(-1\)-isometries ⋮ Classification of the vertex operator algebras \(V_L^+\) of class \(\mathcal{S}^4\) ⋮ Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras ⋮ A generalized Kac-Moody algebra of rank 14 ⋮ Lifts of automorphisms of vertex operator algebras in simple current extensions ⋮ The automorphism group of the -orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32 ⋮ Integral forms in vertex operator algebras, a survey ⋮ Fourvolutions and automorphism groups of orbifold lattice vertex operator algebras ⋮ On isomorphism problems for vertex operator algebras associated with even lattices

Cites Work

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• Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\)
• Rank one lattice type vertex operator algebras and their automorphism groups
• Representations of vertex operator algebra \(V_L^+\) for rank one lattice \(L\)
• Vertex algebras associated with even lattices
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.
• The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots
• On axiomatic approaches to vertex operator algebras and modules
• Fusion rules for the charge conjugation orbifold

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