18 citations · 54 across the 4 of their papers we have counts for
6 papers · 1 filter
Conformal embeddings in affine vertex superalgebras
Dražen Adamović, Pierluigi Möseneder Frajria, Paolo Papi +1
This paper is a natural continuation of our previous work on conformal embeddings of vertex algebras [6], [7], [8]. Here we consider conformal embeddings in simple affine vertex su…
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…
Spherical nilpotent orbits and abelian subalgebras in isotropy representations
Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi
Let be a simply connected semisimple algebraic group with Lie algebra , let be the symmetric subgroup defined by an algebraic involution and le…
Conformal embeddings of affine vertex algebras in minimal -algebras II: decompositions
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We present methods for computing the explicit decomposition of the minimal simple affine -algebra at a conformal level as a module for its maximal affi…
Finite vs infinite decompositions in conformal embeddings
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
Building on work of the first and last author, we prove that an embedding of simple affine vertex algebras , corresponding…
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs
Maria Gorelik, Victor G. Kac, Pierluigi Moseneder Frajria +1
We provide formulas for the denominator and superdenominator of a basic classical type Lie superalgebra for any set of positive roots. We establish a connection between certain set…