A generalization of twisted modules over vertex algebras

• Tanabe Kenichiro

  Department of Mathematics, Hokkaido University

抄録

For an arbitrary positive integer T we introduce the notion of a (V,T)-module over a vertex algebra V, which is a generalization of a twisted V-module. Under some conditions on V, we construct an associative algebra A^T_m(V) for m ∈ (1/T)ℕ and an A^T_m(V)-A^T_n(V)-bimodule A^T_n,m(V) for n,m ∈ (1/T)ℕ and we establish a one-to-one correspondence between the set of isomorphism classes of simple left A^T₀(V)-modules and that of simple (1/T)ℕ-graded (V,T)-modules.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 67 (3), 1109-1146, 2015

  一般社団法人 日本数学会

キーワード

• vertex algebra
• twisted module

詳細情報

• CRID: 1390282680092578560
• NII論文ID: 130005094195
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06731109
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 026603051
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026603051
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可