engleski

An application of collapsing levels to the representation theory of affine vertex algebras

In this talk we study a large class of simple affine vertex algebras at non-admissible collapsing levels, having exactly one irreducible ordinary module. We also study a problem of complete reducibility for collapsing levels. We present certain results on generators of the maximal ideal in the universal affine vertex algebra at certain negative integer levels. The talk is based on joint work with Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria and Paolo Papi.

affine vertex algebra ; W-algebra ; complete reducibility

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