Victor Kac , Scribed by Dongkwan Kim

Constructible Derived Category

Vertex algebras by Victor Kac . Lecture 3 : Fundamentals of formal distributions

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 . ....

Irreducible Modules over Finite Simple Lie Pseudoalgebras I. Primitive Pseudoalgebras of Type W and S Bojko Bakalov, Alessandro D’andrea, and Victor G. Kac

THE KAC CONSTRUCTION OF THE CENTRE OF U(g) FOR LIE SUPERALGEBRAS

In 1984, Victor Kac [K4] suggested an approach to a description of central elements of a completion of U(g) for any Kac-Moody Lie algebra g. The method is based on a recursive procedure. Each step is reduced to a system of linear equations over a certain subalgebra of meromorphic functions on the Cartan subalgebra. The determinant of the system coincides with the Shapovalov determinant for g. W...

Denominator formulas for Lie superalgebras ( extended abstract )

We provide formulas for the Weyl-Kac denominator and superdenominator of a basic classical Lie superalgebra for a distinguished set of positive roots. Résumé. Nous donnons les formules pour les dénominateurs et super-dénominateurs de Weyl-Kac d’une superalgèbre de Lie basique classique pour un ensemble distingué de racines positives.