Cluster realization of positive representations of a split real quantum Borel subalgebra (Q2320358)

scientific article

Language	Label	Description	Also known as
English	Cluster realization of positive representations of a split real quantum Borel subalgebra	scientific article

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instance of

scholarly article

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title

Cluster realization of positive representations of a split real quantum Borel subalgebra (English)

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published in

Theoretical and Mathematical Physics

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publication date

22 August 2019

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full work available at URL

https://arxiv.org/abs/1712.00013

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zbMATH Keywords

positive representation

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split real quantum group

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modular double

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quantum cluster algebra

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tensor category

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author

Ivan Chi-Ho Ip

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MaRDI profile type

MaRDI publication profile

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cites work

Q3715293

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A q-difference analogue of $U({\mathfrak g})$ and the Yang-Baxter equation

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Positive Representations of Split Real Quantum Groups and Future Perspectives

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Discrete Heisenberg-Weyl group and modular group

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R-operator, co-product and Haar-measure for the modular double of $U_q(\mathfrak{sl}(2,\mathbb R))$.

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Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of $\mathcal U_q(\mathfrak{sl}(2,\mathbb R))$

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Positive representations of non-simply-laced split real quantum groups

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Representation of the quantum plane, its quantum double, and harmonic analysis on $GL_q^+(2,\mathbb{R })$

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Operator representations of $\mathbb{R}_ q^ 2$

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Cluster realization of $\mathcal{U}_q(\mathfrak{g})$ and factorizations of the universal $R$-matrix

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On tensor products of positive representations of split real quantum Borel subalgebra $\mathcal {U}_{q\widetilde {q}}(\mathfrak {b}_\mathbb {R})$

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Quantum Teichmüller space from the quantum plane

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Ribbon graphs and their invariants derived from quantum groups

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Invariants of 3-manifolds via link polynomials and quantum groups

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Q5439605

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QUANTUM DILOGARITHM

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Cluster algebras. III: Upper bounds and double Bruhat cells.

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Identifiers

zbMATH Open document ID

1421.81063

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DOI

10.1134/S0040577919020041

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2320358