activity
20132026
most citedSubsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2,2) algebra

25 citations · 74 across the 7 of their papers we have counts for

collaborators

8 papers

math.QA2026

The tensor category for W(2,2)-vertex algebra

Drazen Adamovic, Mingjie Peng, Gordan Radobolja +1

This paper studies the category of grading-restricted -cofinite generalized modules for the vertex operator algebra associated to the -algebra . We fi…

math.QA2021★ 1 cited

Galilean algebra

Gordan Radobolja

Galilean vertex operator algebra is constructed as a universal enveloping vertex algebra of certain non-linear Lie conformal algebra. It is proved th…

math.QA2020

The super Heisenberg-Virasoro vertex algebra at level zero

Drazen Adamovic, Berislav Jandric, Gordan Radobolja

We study the representation theory of the N=1 super Heisenberg-Virasoro vertex algebra at level zero, which extends the previous work on the Heisenberg-Virasoro vertex algebra arXi…

math.QA2017★ 12 cited

Self-dual and logarithmic representations of the twisted Heisenberg--Virasoro algebra at level zero

Drazen Adamovic, Gordan Radobolja

This paper is a continuation of arXiv:1405.1707. We present certain new applications and generalizations of the free field realization of the twisted Heisenberg-Virasoro algebra ${…

math.QA2016★ 10 cited

On Free Field Realizations of -Modules

Drazen Adamovic, Gordan Radobolja

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. P…

math.QA2014★ 22 cited

Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications

Drazen Adamovic, Gordan Radobolja

We investigate the free fields realization of the twisted Heisenberg-Virasoro algebra at level zero. We completely describe the structure of the associated Fock repre…

math.RT2013★ 25 cited

Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2,2) algebra

Gordan Radobolja

We show that subsingular vectors exist in Verma modules over W(2,2), and present a subquotient structure of these modules. We prove conditions for irreducibility of a tensor produc…

math.RT2013★ 4 cited

Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra

Gordan Radobolja

In this paper we discuss the structure of the tensor product V'_{α,β}\otimes L(c,h) of irreducible module from intermediate series and irreducible highest weight module over the Vi…