Articles by Rafael Mrđen

Abstract The aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra  at level zero as modules for the -algebra by using construction from [J. Pure Appl. Algebra 219(2015), 4322-4342, arXiv:1405.1707]. We prove that the irreducible highest weight -module is irreducible as -module if and only if it has […]

Abstract: Lepowsky and Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via vertex operator constructions of standard (i.e., integrable highest weight) representations of affine Kac-Moody Lie algebras. Meurman and Primc developed further this approach for  by using vertex operator algebras and Verma modules. In this paper, we use the same […]

Abstract: Building on work of the first and last author, we prove that an embedding of simple affine vertex algebras , corresponding to an embedding of a maximal equal rank reductive subalgebra  into a simple Lie algebra , is conformal if and only if the corresponding central charges are equal. […]