5 citations · 8 across the 5 of their papers we have counts for
7 papers
Quantizations of some Poisson-Lie groups: The bicrossed product construction
Byung-Jay Kahng
By working with several specific Poisson-Lie groups arising from Heisenberg Lie bialgebras and by carrying out their quantizations, a case is made for a useful but simple method of…
Quantum double construction in the C*-algebra setting of certain Heisenberg-type quantum groups
Byung-Jay Kahng
In this paper, we carry out the ``quantum double construction'' of the specific quantum groups we constructed earlier, namely, the ``quantum Heisenberg group algebra'' (A,Δ) and it…
Construction of a quantum Heisenberg group
Byung-Jay Kahng
In this paper, we give a construction of a (C*-algebraic) quantum Heisenberg group. This is done by viewing it as the dual quantum group of the specific non-compact quantum group (…
Dressing orbits and a quantum Heisenberg group algebra
Byung-Jay Kahng
In this paper, as a generalization of Kirillov's orbit theory, we explore the relationship between the dressing orbits and irreducible *-representations of the Hopf C*-algebras (A,…
Haar measure on a locally compact quantum group
Byung-Jay Kahng
In the general theory of locally compact quantum groups, the notion of Haar measure (Haar weight) plays the most significant role. The aim of this paper is to carry out a careful a…
Non-compact quantum groups arising from Heisenberg type Lie bialgebras
Byung-Jay Kahng
The dual Lie bialgebra of a certain ``quasitriangular'' Lie bialgebra structure on the Heisenberg Lie algebra determines a (non-compact) Poisson--Lie group G. The compatible Poisso…