On Segal–Sugawara vectors for the orthogonal and symplectic Lie algebras

A. I. Molev

Abstract

We consider the center of the affine vertex algebra at the critical level associated with the simple Lie algebras of types \(B\), \(C\) and \(D\). We derive new formulas for the generators of the center which were produced earlier with the use of the Brauer algebra symmetrizer.