Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations.

Kuroki, Kazunori; Nakayashiki, Atsushi

Displaying similar documents to “Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations.”

Universal Bethe ansatz and scalar products of Bethe vectors.

Belliard, Samuel, Pakuliak, Stanislav, Ragoucy, Eric (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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$q$ -analog of Gelfand-Graev basis for the noncompact quantum algebra $U_{q} (u (n, 1))$ .

Asherova, Raisa M., Burdík, Čestmír, Havlíček, Miloslav, Smirnov, Yuri F., Tolstoy, Valeriy N. (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Symmetric quantum Weyl algebras

Rafael Díaz, Eddy Pariguan (2004)

Annales mathématiques Blaise Pascal

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We study the symmetric powers of four algebras: $q$ -oscillator algebra, $q$ -Weyl algebra, $h$ -Weyl algebra and $U ({𝔰𝔩}_{2})$ . We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows.

Aratyn, Henrik, van de Leur, Johan (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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$T$ -systems and $Y$ -systems for quantum affinizations of quantum Kac-Moody algebras.

Kuniba, Atsuo, Nakanishi, Tomoki, Suzuki, Junji (2009)

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An almost-everywhere solution to a mixed problem for one degenerate linear evolution system.

Lavrenyuk, S.P. (2001)

Siberian Mathematical Journal

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Post-gelation behavior of a spatial coagulation model.

Wagner, Wolfgang (2006)

Electronic Journal of Probability [electronic only]

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Hilbert space valued generalized random processes. II.

Seleši, Dora (2007)

Novi Sad Journal of Mathematics

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On respresentation of derivatives of functions in $L_{p}$

Miloš Tomić (2010)

Matematički Vesnik

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Preorders and equivalences generated by commuting relations.

Glavosits, Tamás (2002)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Polynomial Expansions for Solutions of Higher-Order Bessel Heat Equation in Quantum Calculus

Ben Hammouda, M.S., Nemri, Akram (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Class.: 33C10,33D60,26D15,33D05,33D15,33D90 In this paper we give the q-analogue of the higher-order Bessel operators studied by I. Dimovski [3],[4], I. Dimovski and V. Kiryakova [5],[6], M. I. Klyuchantsev [17], V. Kiryakova [15], [16], A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud [8], and recently by many other authors. Our objective is twofold. First, using the q-Jackson integral and the q-derivative, we aim at establishing some properties...

On the convergence and summability of $N$ -dimensional Fourier series with respect to the Walsh-Paley systems in the spaces $L^{p} ({[0, 1]}^{N})$ , $p \in [1, + \infty]$ .

Goginava, U. (2000)

Georgian Mathematical Journal

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