The automorphism group of the vertex operator algebra VL+ for an even lattice L without roots

By Hiroki Shimakura. 2003

57 citations recorded by the source corpus.

Abstract 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, 2 R for an irreducible root lattice R of type ADE and the Barnes–Wall lattice of rank 16.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/993b65b07bbfcf57a566d8ad5ad3f44f0ab5b82d

Citations in the corpus

• On the Structure of Framed Vertex Operator Algebras and Their Pointwise Frame Stabilizers (2006, unknown): “µei = e� (i) for 1 ≤ i ≤ n by Theorem 3.3 of [ Sh ].”