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

DOI10.1093/imrn/rnt198zbMath1326.17011arXiv1212.5149OpenAlexW2962902898MaRDI QIDQ5174206

Ivan Chi-Ho Ip

Publication date: 17 February 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5149

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (7)

Cluster realization of \(\mathcal{U}_q(\mathfrak{g})\) and factorizations of the universal \(R\)-matrix ⋮ On tensor product decomposition of positive representations of \(\mathcal{U}_{q\widetilde{q}}(\mathfrak{sl}(2,\mathbb{R}))\) ⋮ Positive representations with zero Casimirs ⋮ On tensor products of positive representations of split real quantum Borel subalgebra $\mathcal {U}_{q\widetilde {q}}(\mathfrak {b}_\mathbb {R})$ ⋮ Phase constants in the Fock-Goncharov quantum cluster varieties ⋮ Gauss-Lusztig decomposition for positive quantum groups and representation by \(q\)-tori ⋮ Positive representations of split real simply-laced quantum groups

This page was built for publication: Positive Representations of Split Real Quantum Groups: The Universal R Operator