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Conformal-field-theoretic analogues of codes and lattices

2001/04/13 by Yi-Zhi Huang, Huang, Yi-Zhi
Computer Science · Engineering · Mathematics · Physics and Astronomy · #11H06 #17B69 #81T40 #94B05 #Advanced Topics in Algebra #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #graph theory and CDMA systems #hep-th #math.CO #math.QA #msc:11H06 #msc:17B69 #msc:81T40 #msc:94B05

paper · pdf · doi:10.48550/arxiv.math/0104150

23 pages, LaTeX2e file

arxiv created 2001/04/13 · openalex publication_date 2001/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and study completely-extendable conformal intertwining algebras. Based on results obtained in other papers, various examples are given. Duals of these algebras are constructed and nondegenerate such algebras are defined. We prove that the double dual of such a nondegenrate algebra is equal to itself. We explain using a table that these nondegenerate algebras are the correct conformal-field-theoretic analogues of linear binary codes and nondegenerate rational lattices.

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