Conformal-field-theoretic analogues of codes and lattices

Details Conformal-field-theoretic analogues of codes and lattices Conformal-field-theoretic analogues of codes and lattices

2001-04-13

arxiv.org/abs/math/0104150v1

Mathematics

Quantum Algebra

23 pages, LaTeX2e file

Scientific paper

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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