Titlebook: Introduction to Vertex Operator Superalgebras and Their Modules; Xiaoping Xu Book 1998 Springer Science+Business Media Dordrecht 1998 Latt

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Self-Dual Latticests in the twisted gluing technique are called “T-shells.” In Section 2.5, we shall introduce a class of T-shells related to type-A root lattices and construct a family of self-dual lattices based on these shells, which we call “twisted type-A self-dual lattices.” By cutting this type of lattices, we

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Definitions and General Propertiesmulated in terms of the mathematical version of the “duality” in physics, which we wrote down in [X9] and [X11]. We shall prove that the duality is equivalent to the Jacobi identity. Li’s Theorem [Li6] on the change of twisted vertex operators by the vertex operator of a certain “weight-1” element i

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Analogue of the Highest-Weight Theoryof the associative algebra. Section 5.2 is devoted to the study of the intertwining operators among the truncated irreducible (untwisted) modules of a vertex operator superalgebra. In Section 5.3, we shall give a reformulation of the results in [W].

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Self-Dual Codesechnique will be given in Section 1.4. In Section 1.5, we shall give some constructional examples of ternary self-dual codes. In Section 1.6, we shall present some families of self-dual codes over ?.. Sections 1.1, 1.2 and Constructions III, IV in Section 1.4 were published in [X2].

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Lattice Vertex Operator Superalgebrasse any integral subgroup is a direct sum of a nondegenerate integral lattice and an isotropic subgroup (cf. Lemma 6.1.2). In fact, the existing results shall be improved and the arguments of the proofs will be simplified.

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Stefanie Huber,Robert Horbaty,Geraint Ellisnspection procedures must be integrated with continuous monitoring systems, which can be consulted remotely in real time. There are different traditional and innovative techniques to monitor the bridge structural performance. This work investigates the potential of their combination and integration

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