26 citations · 71 across the 21 of their papers we have counts for
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Positive representations of split real quantum groups and future perspectives
Igor B. Frenkel, Ivan C. H. Ip
We construct a special principal series representation for the modular double of type representing the generators by positive essentially self-adjoint o…
Gauss-Lusztig Decomposition for and Representation by q-Tori
Ivan Chi-Ho Ip
We found an explicit construction of a representation of the positive quantum group and its modular double $GL_{q\til[q]}^+(N,\R)$ by positive essentially self-adjoi…
The Graphs of Quantum Dilogarithm
Ivan Chi-Ho Ip
Using the complex coloring method, we present the graphs of the quantum dilogarithm function and visualize its analytic and asymptotic behaviours. In particular we demonst…
Representation of the Quantum Plane, its Quantum Double and Harmonic Analysis on
Ivan Chi-Ho Ip
We give complete detail of the description of the GNS representation of the quantum plane $\cA$ and its dual $\hat{\cA}$ as a von-Neumann algebra. In particular we obtain a rather…