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arXiv 2003-11-10 0 views

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

Shimakura, Hiroki

Original · EN

The automorphism group of the vertex operator algebra Vₗ+ is studied by using its action on isomorphism classes of irreducible Vₗ+-modules. In particular, the shape of the automorphism group of Vₗ+ 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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