Showing 2024Show all
3 papers · 1 filter
math.RT2024
An application of collapsing levels to the representation theory of affine vertex algebras
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We discover a large class of simple affine vertex algebras , associated to basic Lie superalgebras at non-admissible collapsing levels , havin…
math.RT2024
Conformal operads and the basic vertex algebra cohomology complex
Alberto De Sole, Reimundo Heluani, Victor Kac
We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and…
math.RT2024
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras
Roman Bezrukavnikov, Victor Kac, Vasily Krylov
Let be a simple finite dimensional complex Lie algebra and let be the corresponding affine Lie algebra. Kac and Wakimoto observed that in so…