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

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

2003-11-10

arxiv.org/abs/math/0311141v2

Mathematics

Quantum Algebra

29 pages

Scientific paper

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, $\sqrt2R$ for an irreducible root lattice $R$ of type $ADE$ and the Barnes-Wall lattice of rank 16.

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