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

نویسندگان

  • Kenichiro Tanabe
  • Hiromichi Yamada
چکیده

We study the fixed point subalgebra of a certain class of lattice vertex operator algebras by an automorphism of order 3, which is a lift of a fixed-point-free isometry of the underlying lattice. We classify the irreducible modules for the subalgebra. Moreover, the rationality and the C2-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice. Partially supported by JSPS Grant-in-Aid for Scientific Research No. 17740002 Partially supported by JSPS Grant-in-Aid for Scientific Research No. 17540016

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تاریخ انتشار 2006