A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra.… (More)

We propose a formulation of a new problem, which we call change analysis , and a novel method for solving the problem. In contrast to the existing methods of change (or outlier) detection, the goal… (More)

Primary fields of the q-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields… (More)

A quantum deformation of the Virasoro algebra is deened. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra.… (More)

Virasoro-type symmetries and their roles in solvable models are reviewed. These symmetries are described by the two-parameter Virasoro-type algebra Virp,q by choosing the parameters p and q suitably.… (More)

It is shown that an extended q-deformed su(2) algebra with an extra (“Schwinger ”) term can describe Bloch electrons in a uniform magnetic field with an additional periodic potential. This is a… (More)

A difference operator realization of quantum deformed oscillator algebra Hq(1) with a Casimir operator freedom is introduced. We show that thisHq(1) have a nonlinear mapping to the deformed quantum… (More)