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

• Tanabe Kenichiro

  Department of Mathematics, Hokkaido University

• Yamada Hiromichi

  Department of Mathematics, Hitotsubashi University

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 65 (4), 1169-1242, 2013

  一般社団法人 日本数学会

キーワード

• vertex operator algebra
• orbifold
• Leech lattice

詳細情報

• CRID: 1390282680093342080
• NII論文ID: 130003384669
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06541169
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 024947380
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I024947380
• 本文言語コード: en
• データソース種別:
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