3 papers
math.RT2026
Center of the affine at the critical level and pseudo-differential operators
Dražen Adamović, Boris Feigin, Shigenori Nakatsuka
We prove that the center of the affine Lie algebra at the critical level is generated by the coefficients in the expansion of the pseudo-differentia…
math.QA2025
A new quasi-lisse affine vertex algebra of type
Dražen Adamović, Ivana Vukorepa
We consider a family of potential quasi-lisse affine vertex algebras at levels . In the case , the irreducible --modules…
math.QA2024
Semisimplicity of module categories of certain affine vertex operator superalgebras
Dražen Adamović, Chunrui Ai, Xingjun Lin +1
In this paper, we show Kazhdan-Lusztig categories, that is, the categories of lower bounded generalized weight modules for certain affine vertex operator superalgebras that are loc…