Integral calculus on (2).

Brzeziński, Tomasz

Displaying similar documents to “Integral calculus on $E_{q}$ (2).”

The Frobenius theorem on $N$ -dimensional quantum hyperplane.

Ciupală, C. (2006)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

Differential equations, Spencer cohomology, and computing resolutions.

Lambe, Larry A., Seiler, Werner M. (2002)

Georgian Mathematical Journal

Similarity:

PBW and duality theorems for quantum groups and quantum current algebras.

Enriquez, Benjamin (2003)

Journal of Lie Theory

Similarity:

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

Similarity:

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....

A note on centralizers in $q$ -deformed Heisenberg algebras.

Mazorchuk, Volodymyr (2001)

AMA. Algebra Montpellier Announcements [electronic only]

Similarity:

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]

Similarity:

Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

Similarity:

Let $M$ be a differential manifold. Let $Φ$ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from $Φ$ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on $C^{\infty} (M)$ and its cohomology $(Γ (M, Λ T M), {[-, -]}_{S}$ ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on $G_{\infty}$ -structures, explanation...

Left-covariant differential calculi on $S L_{q} (N)$

Konrad Schmüdgen, Axel Schüler (1997)

Banach Center Publications

Similarity:

We study $N^{2} - 1$ dimensional left-covariant differential calculi on the quantum group $S L_{q} (N)$ . In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus....

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

José de Azcárraga, Francisco Rodenas (1997)

Banach Center Publications

Similarity:

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]

Similarity:

Displaying similar documents to “Integral calculus on E q (2).”

Displaying similar documents to “Integral calculus on $E_{q}$ (2).”