1302.0801 (Gordan Radobolja)

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

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 product of intermediate series module with the highest weight module. Relations to intertwining operators over vertex operator algebra associated to W(2,2) is discussed. Also, we study a tensor product of intermediate series and highest weight module over the twisted Heisenberg-Virasoro algebra, and present series of irreducible modules with infinite-dimensional weight spaces.

View original: http://arxiv.org/abs/1302.0801