Rationality of the vertex operator algebra <Emphasis Type="Italic">V</Emphasis><Subscript><Emphasis Type="Italic">L</Emphasis></Subscript>+ for a positive definite even lattice <Emphasis Type="Italic">L</Emphasis>期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Rationality of the vertex operator algebra VL+ for a positive definite even lattice L

Authors:	Toshiyuki?Abe author-information" > author-information__contact u-icon-before" > mailto:abe@math.sci.ehime-u.ac.jp" title=" abe@math.sci.ehime-u.ac.jp" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematical Sciences, Faculty of Science, Ehime University, 2-5 Bunkyocho, Matsuyama, Ehime 790-8577, Japan

Abstract:	The lattice vertex operator algebra V_L associated to a positive definite even lattice L has an automorphism of order 2 lifted from –1-isometry of L. The fixed point set V_L+ of V_L for the automorphism is naturally a vertex operator algebra. We prove that any ₀-graded weak V_L⁺-module is completely reducible.Supported by JSPS Research Fellowships for Young Scientists.

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