Vertex algebras by Victor Kac . Lecture 3 : Fundamentals of formal distributions
نویسندگان
چکیده
2. Derivatives 10 2.1. Derivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2. Hasse-Schmidt derivatives ∂ z . . . . . . . . . . . . . . . . . . . . . 11 2.3. Hasse-Schmidt derivations in general . . . . . . . . . . . . . . . . . 18 2.4. Hasse-Schmidt derivations from A to B as algebra maps A→ B [[t]] 22 2.5. Extending Hasse-Schmidt derivations to localizations . . . . . . . . 30 2.6. Residues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.7. Differential operators . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
منابع مشابه
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We give a short introduction to generalized vertex algebras, using the notion of polylocal fields. We construct a generalized vertex algebra associated to a vector space h with a symmetric bilinear form. It contains as subalgebras all lattice vertex algebras of rank equal to dim h and all irreducible representations of these vertex algebras.
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