Article

Positive Representations of Split Real SimplyLaced Quantum Groups

Author(s): Ip, Ivan Chi Ho

Source: Publications of the Research Institute for Mathematical Sciences, v. 56, (3), June 2020, p. 603646

On Ramond Decorations

Author(s): Ip, Ivan Chi Ho ; Penner, Robert Clark; Zeitlin, Anton M.

Source: Communications in Mathematical Physics, April 2019

Cluster Realization of Positive Representations of a Split Real Quantum Borel Subalgebra

Author(s): Ip, Ivan Chi Ho

Source: Theoretical and Mathematical Physics(Russian Federation), v. 198, (2), 1 February 2019, p. 215238

N=2 superTeichmuller theory

Author(s): Ip, Ivan Chi Ho ; Robert C. Penner; Anton M. Zeitlin

Source: Advances in Mathematics, v. 336, October 2018, p. 409454

Cluster Realization of U_{q}(g) and Factorizations of The Universal Rmatrix

Author(s): Ip, Ivan Chi Ho

Source: Selecta Mathematica, New Series, v.24, (5), November 2018, p. 44614553

N=2 SuperTeichmüller Theory

Author(s): Ip, Ivan Chi Ho ; Robert C. Penner; Anton M. Zeitlin

Source: Advances in Mathematics, v. 336, October 2018, p. 409454

On Tensor Products of Positive Representations of Split Real Quantum Borel Subalgebra U_{qq} (b_{ℝ})

Author(s): Ip, Ivan Chi Ho

Source: Transactions of the American Mathematical Society. , v. 370, (6), June 2018, p. 41774200

Quantum Dilogarithm Identities at Root of Unity

Author(s): Ip, Ivan Chi Ho; Yamazaki, M.

Source: International Mathematics Research Notices. , v. 2016, (3), 2016, p. 669695

Positive Casimir and Central Characters of Split Real Quantum Groups

Author(s): Ip, Ivan Chi Ho

Source: Communications in Mathematical Physics. , v. 344, (3), June 2016, p. 857888

Gausslusztig Decomposition for Positive Quantum Groups and Representation by Qtori

Author(s): Ip, Ivan Chi Ho

Source: Journal of Pure and Applied Algebra. , v. 219, (12), December 2015, p. 56505672

Positive Representations of Nonsimplylaced Split Real Quantum Groups

Author(s): Ip, Ivan Chi Ho

Source: Journal of Algebra. , v. 425, March 2015, p. 245276

Positive Representations of Split Real Quantum Groups: The Universal R Operator

Author(s): Ip, Ivan Chi Ho

Source: International Mathematics Research Notices. , v. 2015, (1), 2015, p. 240287

QOperator and Fusion Relations for U_{q}(C^{(2)}(2))

Author(s): Ip, Ivan Chi Ho; Zeitlin, A.M.

Source: Letters in Mathematical Physics. , v. 104, (8), July 2014, p. 10191043

Positive Representations of Split Real Quantum Groups and Future Perspectives

Author(s): Frenkel, I.B.; Ip, Ivan Chi Ho

Source: International Mathematics Research Notices. , v. 2014, (8), January 2014, p. 21262164

Supersymmetry and the Modular Double

Author(s): Ip, Ivan Chi Ho; Zeitlin, Anton M

Source: Contemporary Mathematics. , v. 623, 2014, p. 8191

Representation of the Quantum Plane, Its Quantum Double, and Harmonic Analysis on GL_{q}^{+}(2, ℝ)

Author(s): Ip, Ivan Chi Ho

Source: Selecta Mathematica, New Series. , v. 19, (4), November 2013, p. 9871082

The Classical Limit of Representation Theory of the Quantum Plane

Author(s): Ip, Ivan Chi Ho

Source: International Journal of Mathematics. , v. 24, (4), April 2013, article number 1350031
Conference paper

Positive Representations, Multiplier Hopf Algebra, and Continuous Canonical Basis

Author(s): Ip, Ivan Chi Ho

On the work of Igor Frenkel

Author(s): Duncan, John; Etingof, Pavel; Ip, Ivan Chi Ho; Khovanov, Mikhail; Libine, Matvei; Licata, Anthony; Savage, Alistair; Schlosser, Michael

Source: Contemporary Mathematics. , v. 610, 2014, p. 121

Positive Representations of Split Real Quantum Groups

Author(s): Ip, Ivan Chi Ho

Source: Nankai Series in Pure, Applied Mathematics and Theoretical Physics: Symmetries and Groups in Contemporary Physics. , v. 11, 2012, p. 175180
Preprint

On tensor products decomposition of positive representations of U_{qq~}(sl(2,R))

Author(s): Ip, Ivan Chi Ho

Source: arXiv, Nov 2015, Article number 1511.07970

Positive Representations of Split Real Simplylaced Quantum Groups

Author(s): Ip, Ivan Chi Ho

Source: arXiv, Mar 2012, Articel number 1203.2018

The Graphs of Quantum Dilogarithm

Author(s): Ip, Ivan Chi Ho

Source: arXiv, Aug 2011, Article number 1108.5376

