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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Displaying similar documents to “Generating series for nested Bethe vectors.”
Universal Bethe ansatz and scalar products of Bethe vectors.
A -analogue of the centralizer construction and skew representations of the quantum affine algebra.
Hopkins, Mark J., Molev, Alexander I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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-analog of Gelfand-Graev basis for the noncompact quantum algebra .
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: -oscillator algebra, -Weyl algebra, -Weyl algebra and . We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.
-systems and -systems for quantum affinizations of quantum Kac-Moody algebras.
Kuniba, Atsuo, Nakanishi, Tomoki, Suzuki, Junji (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations.
Kuroki, Kazunori, Nakayashiki, Atsushi (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Counting multiderangements by excedances.
Chow, Chak-On (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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A first order -difference system for the -type Jackson integral and its applications.
Ito, Masahiko (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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The major counting of nonintersecting lattice paths and generating functions for tableaux. (Summary).
Krattenthaler, C. (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
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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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A ridiculously simple and explicit implicit function theorem.
Sokal, Alan D. (2009)
Séminaire Lotharingien de Combinatoire [electronic only]
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Generalized Hurwitz maps of the type S × V → W, anti-involutions, and quantum braided Clifford algebras
Julian Ławrynowicz, Jakub Rembieliński, Francesco Succi (1996)
Banach Center Publications
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The notion of a -triple is studied in connection with a geometrical approach to the generalized Hurwitz problem for quadratic or bilinear forms. Some properties are obtained, generalizing those derived earlier by the present authors for the Hurwitz maps S × V → V. In particular, the dependence of each scalar product involved on the symmetry or antisymmetry is discussed as well as the configurations depending on various choices of the metric tensors of scalar products of the basis elements....