Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 65, Number 4 (2013), 1169-1242.
Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
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 $C_2$-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice.
J. Math. Soc. Japan, Volume 65, Number 4 (2013), 1169-1242.
First available in Project Euclid: 24 October 2013
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 17B69: Vertex operators; vertex operator algebras and related structures
Secondary: 17B68: Virasoro and related algebras
TANABE, Kenichiro; YAMADA, Hiromichi. Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three. J. Math. Soc. Japan 65 (2013), no. 4, 1169--1242. doi:10.2969/jmsj/06541169. https://projecteuclid.org/euclid.jmsj/1382620191