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Finite-dimensional representations of the elliptic modular double - MaRDI portal

Finite-dimensional representations of the elliptic modular double (Q895042)

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Language	Label	Description	Also known as
English	Finite-dimensional representations of the elliptic modular double	scientific article

Statements

scholarly article

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Finite-dimensional representations of the elliptic modular double (English)

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Vyacheslav P. Spiridonov

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Sergey E. Derkachov

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Theoretical and Mathematical Physics

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publication date

26 November 2015

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full work available at URL

https://arxiv.org/abs/1310.7570

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zbMATH Keywords

Yang-Baxter equation

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elliptic modular double

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elliptic hypergeometric function

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MaRDI profile type

MaRDI publication profile

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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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Unitary representations of \(U_{q} (\mathfrak s\mathfrak l(2,\mathbb R))\), the modular double and the multiparticle \(q\)-deformed Toda chain

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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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Ruijsenaars' hypergeometric function and the modular double of \(\mathcal {U}_{q}(\mathfrak {sl}_{2}(\mathbb C))\)

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Discrete series of representations for the modular double of the quantum group \(U_q (sl(2, \mathbb R))\)

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Some algebraic structures connected with the Yang-Baxter equation

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Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras

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Yang-Baxter equation, parameter permutations, and the elliptic beta integral

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Continuous biorthogonality of an elliptic hypergeometric function

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A Bailey tree for integrals

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Inversions of integral operators and elliptic beta integrals on root systems

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General solution of the Yang–Baxter equation with symmetry group $\mathrm {SL}(\mathit {n},\mathbb {C})$

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Yang-Baxter \(\mathcal R\)-operators and parameter permutations

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On the elliptic beta function

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Baxter operators with deformed symmetry

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Difference operators of Sklyanin and van Diejen type.

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An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic)

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Bethe ansatz for higher spin eight-vertex models

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Theta hypergeometric integrals

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Identifiers

zbMATH Open document ID

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10.1007/s11232-015-0284-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:895042

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