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Positive representations with zero Casimirs (Q6203024)

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scientific article; zbMATH DE number 7824919

Language	Label	Description	Also known as
English	Positive representations with zero Casimirs	scientific article; zbMATH DE number 7824919

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scholarly article

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Positive representations with zero Casimirs (English)

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10.1007/s00220-024-04955-2

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Communications in Mathematical Physics

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publication date

26 March 2024

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full work available at URL

https://arxiv.org/abs/2203.14828

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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Discrete Heisenberg-Weyl group and modular group

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Moduli spaces of local systems and higher Teichmüller theory

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The quantum dilogarithm and representations of quantum cluster varieties

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Positive Representations of Split Real Quantum Groups and Future Perspectives

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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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Positive representations of split real simply-laced quantum groups

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

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

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Positive Casimir and central characters of split real quantum groups

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

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Quantum Dilogarithm Identities at Root of Unity

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

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Quantization of Teichmüller spaces and the quantum dilogarithm

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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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Operator representations of \(\mathcal{U}_ q(sl_ 2(\mathbb{R}))\)

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A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties

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Mathematics(1 entry)

mardi Publication:6203024

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