Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three

DOI10.2969/jmsj/06541169zbMath1342.17021arXivmath/0610013OpenAlexW3105037937MaRDI QIDQ392584

Hiromichi Yamada, Kenichiro Tanabe

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/math/0610013

zbMATH Keywords

latticevertex operator algebrafixed point subalgebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (11)

Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\) ⋮ A generalization of intertwining operators for vertex operator algebras ⋮ The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1) ⋮ Coset construction of \(\mathbb Z/3\) orbifold vertex operator algebra \(V_{\sqrt{2}A_2}^{\tau}\) ⋮ Simple weak modules for the fixed point subalgebra of the Heisenberg vertex operator algebra of rank $1$ by an automorphism of order $2$ and Whittaker vectors ⋮ \(\mathbb {Z}_3\)-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster ⋮ On \(\mathbb {Z}_p\)-orbifold constructions of the Moonshine vertex operator algebra ⋮ The 3-permutation orbifold of a lattice vertex operator algebra ⋮ Extensions of tensor products of \(\mathbb{Z}_p\)-orbifold models of the lattice vertex operator algebra \(V_{\sqrt{2} A_{p - 1}}\) ⋮ Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three ⋮ Fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau $-modules of twisted type

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