On isomorphism problems for vertex operator algebras associated with even lattices

DOI10.1090/S0002-9939-2011-11167-5zbMath1307.17030arXiv1104.0714OpenAlexW2139020297MaRDI QIDQ2845851

Hiroki Shimakura

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0714

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Lattices and convex bodies (number-theoretic aspects) (11H06) Relations with coding theory (11H71)

Related Items (2)

Vertex operator algebras with central charge 8 and 16 ⋮ Tutte polynomial, complete invariant, and theta series

Cites Work

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• Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\)
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• Representations of vertex operator algebra \(V_L^+\) for rank one lattice \(L\)
• Vertex algebras associated with even lattices
• Self-dual codes over the Kleinian four group
• Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.
• Holomorphic vertex operator algebras of small central charge
• The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots
• Lifts of automorphisms of vertex operator algebras in simple current extensions
• Conformal designs based on vertex operator algebras
• Eine Identität zwischen Modulformen zweiten Grades
• Vertex algebras, Kac-Moody algebras, and the Monster
• On axiomatic approaches to vertex operator algebras and modules
• An E ₈ -approach to the moonshine vertex operator algebra
• Fusion rules for the charge conjugation orbifold

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