Mathematische Zeitschrift

, Volume 249, Issue 2, pp 455–484 | Cite as

Rationality of the vertex operator algebra V L + for a positive definite even lattice L

  • Toshiyuki AbeEmail author


The lattice vertex operator algebra V L associated to a positive definite even lattice L has an automorphism of order 2 lifted from −1-isometry of L. The fixed point set V L + of V L for the automorphism is naturally a vertex operator algebra. We prove that any ℤ≥0-graded weak V L +-module is completely reducible.


Vertex Operator Operator Algebra Vertex Operator Algebra Lattice Vertex Lattice Vertex Operator Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of Mathematical Sciences, Faculty of ScienceEhime UniversityMatsuyama, EhimeJapan

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