Positive representations, multiplier Hopf algebra, and continuous canonical basis

zbMath1431.16032arXiv1312.3207MaRDI QIDQ4642084

Ivan Chi-Ho Ip

Publication date: 18 May 2018

Full work available at URL: https://arxiv.org/abs/1312.3207

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hopf algebras and their applications (16T05)

Related Items (6)

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 Casimir and central characters of split real quantum groups ⋮ On tensor products of positive representations of split real quantum Borel subalgebra $\mathcal {U}_{q\widetilde {q}}(\mathfrak {b}_\mathbb {R})$ ⋮ Gauss-Lusztig decomposition for positive quantum groups and representation by \(q\)-tori ⋮ Positive representations of split real simply-laced quantum groups

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