## 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.

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 Thursday, August 20, 2020