We review some key features of Quantum Jet Theory: observer dependence, multi-dimensional Virasoro algebra, and the prediction that spacetime has four dimensions.

The method of constrained Hamiltonian systems can be used to reduce Fock modules. It is applied to the Virasoro algebra, where a possibly new realization is found.

The recently constructed Fock representations of N-dimensional diffeomorphism and current algebras are reformulated in terms of one-dimensional currents, satisfying Virasoro and affine Kac-Moody algebras.

In this paper, we classify all indecomposable Harish-Chandra modules of the intermediate series over the twisted Heisenberg-Virasoro algebra. Meanwhile, some bosonic modules are also studied.

We present a twisted commutator deformation for N = 1, 2 super Virasoro algebras based on GLq(1, 1) covariant noncommutative superspace. PACS: 02.10.Jf, 11.17.+y

We explicitly demonstrate that the unitary representations of the w ∞ algebra and its truncations are just the unitary representations of the Virasoro algebra.