I. Ip

activity

20102026

most citedPositive Representations of Split Real Simply-laced Quantum Groups

26 citations · 71 across the 21 of their papers we have counts for

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Showing 2011 · math.QAShow all

3 papers · 2 filters

math.QA2011★ 3 cited

Gauss-Lusztig Decomposition for $G L_{q}^{+} (N, R)$ and Representation by q-Tori

Ivan Chi-Ho Ip

We found an explicit construction of a representation of the positive quantum group $G L_{q}^{+} (N, R)$ and its modular double $GL_{q\til[q]}^+(N,\R)$ by positive essentially self-adjoi…

math.QA2011★ 2 cited

The Graphs of Quantum Dilogarithm

Ivan Chi-Ho Ip

Using the complex coloring method, we present the graphs of the quantum dilogarithm function $G_{b} (z)$ and visualize its analytic and asymptotic behaviours. In particular we demonst…

math.QA2011★ 7 cited

Representation of the Quantum Plane, its Quantum Double and Harmonic Analysis on $G L_{q}^{+} (2, R)$

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…

Gauss-Lusztig Decomposition for GLq+​(N,R) and Representation by q-Tori

The Graphs of Quantum Dilogarithm

Representation of the Quantum Plane, its Quantum Double and Harmonic Analysis on GLq+​(2,R)

Gauss-Lusztig Decomposition for $G L_{q}^{+} (N, R)$ and Representation by q-Tori

Representation of the Quantum Plane, its Quantum Double and Harmonic Analysis on $G L_{q}^{+} (2, R)$