Dynamical  matrices of elliptic quantum groups and connection matrices for the -KZ equations.

Konno, Hitoshi

Displaying similar documents to “Dynamical $ℛ$ matrices of elliptic quantum groups and connection matrices for the $q$ -KZ equations.”

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 $J^{3}$ -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....

Differential calculus on 'non-standard' (h-deformed) Minkowski spaces

José de Azcárraga, Francisco Rodenas (1997)

Banach Center Publications

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The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.

$q$ -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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$T$ -systems and $Y$ -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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A $q$ -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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Positive solutions of nonlinear elliptic systems

Robert Dalmasso (1993)

Annales Polonici Mathematici

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We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^{\infty}$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.

Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs

W. Królikowski (1991)

Annales Polonici Mathematici

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The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.