Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
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- Tanabe Kenichiro
- Department of Mathematics, Hokkaido University
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- Yamada Hiromichi
- Department of Mathematics, Hitotsubashi University
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Description
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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 65 (4), 1169-1242, 2013
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680093342080
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- NII Article ID
- 130003384669
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 024947380
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed