195 citations · 389 across the 8 of their papers we have counts for
8 papers
An extended q-deformed su(2) algebra and the Bloch electron problem
Kazuo Fujikawa, Harunobu Kubo
It is shown that an extended q-deformed algebra with an extra (``Schwinger '') term can describe Bloch electrons in a uniform magnetic field with an additional periodic pot…
Oscillator Quantum Algebra and Deformed su(2) Algebra
Harunobu Kubo
A difference operator realization of quantum deformed oscillator algebra with a Casimir operator freedom is introduced. We show that this have a nonlinear mapping…
Virasoro-type Symmetries in Solvable Models
H. Awata, H. Kubo, S. Odake +1
Virasoro-type symmetries and their roles in solvable models are reviewed. These symmetries are described by the two-parameter Virasoro-type algebra by choosing the para…
Quantum Deformation of the W_N Algebra
H. Awata, H. Kubo, S. Odake +1
We review the W_N algebra and its quantum deformation, based on free field realizations. The (quantum deformed) W_N algebra is defined through the (quantum deformed) Miura transfor…
A Schwinger term in q-deformed su(2) algebra
Kazuo Fujikawa, Harunobu Kubo, C. H. Oh
An extra term generally appears in the q-deformed algebra for the deformation parameter , if one combines the Biedenharn-Macfarlane construction of q-defo…
Vertex Operators of the -Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions
H. Awata, H. Kubo, Y. Morita +2
Primary fields of the -deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on…