A theory of tensor products for module categories for a vertex operator algebra. IV
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Publication:1896839
DOI10.1016/0022-4049(95)00050-7zbMath0841.17015arXivq-alg/9505019OpenAlexW4213269555MaRDI QIDQ1896839
Publication date: 16 July 1996
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9505019
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)
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Cites Work
