48 citations · 124 across the 13 of their papers we have counts for
17 papers
A method for describing the maximal ideal in universal affine vertex algebras at non-admissible levels
Drazen Adamovic, Ozren Perse, Ivana Vukorepa
The problem of determining maximal ideals in universal affine vertex algebras is difficult for levels beyond admissible, since there are no simple character formulas which can be a…
Tensor category via minimal affine -algebras at the non-admissible level
Drazen Adamovic, Thomas Creutzig, Ozren Perse +1
We prove that is a semi-simple, rigid braided tensor category for all even , and which generalizes result from arXiv:2103.02985…
On the representation theory of the vertex algebra
Drazen Adamovic, Ozren Perse, Ivana Vukorepa
We study the representation theory of non-admissible simple affine vertex algebra . We determine an explicit formula for the singular vector of conformal weight f…
Kostant's pair of Lie type and conformal embeddings
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We deal with some aspects of the theory of conformal embeddings of affine vertex algebras, providing a new proof of the Symmetric Space Theorem and a criterion for conformal embedd…
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…
On classification of non-equal rank affine conformal embeddings and applications
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We complete the classification of conformal embeddings of a maximally reductive subalgebra into a simple Lie algebra at non-integrable non-critical leve…
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…
Conformal embeddings of affine vertex algebras in minimal -algebras I: structural results
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We find all values of , for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra is conformal, where $\mathfr…
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…
Fusion rules and complete reducibility of certain modules for affine Lie algebras
Drazen Adamovic, Ozren Perse
We develop a new method for obtaining branching rules for affine Kac-Moody Lie algebras at negative integer levels. This method uses fusion rules for vertex operator algebras of af…
A note on representations of some affine vertex algebras of type D
Ozren Perse
In this note we construct a series of singular vectors in universal affine vertex operator algebras associated to of levels , for . For $n…
Some general results on conformal embeddings of affine vertex operator algebras
Drazen Adamovic, Ozren Perse
We give a general criterion for conformal embeddings of vertex operator algebras associated to affine Lie algebras at arbitrary levels. Using that criterion, we construct new confo…
Embeddings of vertex operator algebras associated to orthogonal affine Lie algebras
Ozren Perse
Let (resp. ) be the simple vertex operator algebra associated to affine Lie algebra of type (resp. $B_…
Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A
Ozren Perse
Let be the simple vertex operator algebra associated to an affine Lie algebra of type with the lowest admissible half-integer level ,…
Representations of certain non-rational vertex operator algebras of affine type
Drazen Adamovic, Ozren Perse
In this paper we study a series of vertex operator algebras of integer level associated to the affine Lie algebra . These vertex operator algebras are constructed b…
Vertex operator algebra analogue of embedding of into
Ozren Perse
Let L_{B}(-5/2,0) (resp. L_{F}(-5/2,0)) be the simple vertex operator algebra associated to affine Lie algebra of type (resp. ) with the lowest admissibl…
Vertex operator algebras associated to type B affine Lie algebras on admissible half-integer levels
Ozren Perse
Let L(n-l+1/2,0) be the vertex operator algebra associated to an affine Lie algebra of type B_l^(1) at level n-l+1/2, for a positive integer n. We classify irreducible L(n-l+1/2,0)…