1 citations · 2 across the 6 of their papers we have counts for
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Quantum cluster mutations and reduced word graphs
Ivan Chi-Ho Ip
We give an algebraic proof of the independence of Coxeter moves involved in the construction of positive representations of split-real quantum groups, thus completing a gap in the…
Positive Representations with Zero Casimirs
Ivan Chi-Ho Ip, Ryuichi Man
In this paper, we construct a new family of generalization of the positive representations of split-real quantum groups based on the degeneration of the Casimir operators acting as…
Parabolic Positive Representations of
Ivan Chi-Ho Ip
We construct a new family of irreducible representations of and its modular double by quantizing the classical parabolic induction correspo…
Cluster realization of positive representations of split real quantum Borel subalgebra
Ivan Chi-Ho Ip
In our previous work, we studied the positive representations of split real quantum groups restricted to its Borel part, and sho…
Positive Representations of Split Real Quantum Groups: The Universal R Operator
Ivan Chi-Ho Ip
The universal operator for the positive representations of split real quantum groups is computed, generalizing the formula of compact quantum groups by Kirillov-Reshet…