On Tanaka's prolongation procedure for filtered structures of constant type.

Zelenko, Igor

Displaying similar documents to “On Tanaka's prolongation procedure for filtered structures of constant type.”

On special types of nonholonomic $3$ -jets

Ivan Kolář (2012)

Archivum Mathematicum

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We deduce a classification of all special types of nonholonomic $3$ -jets. In the introductory part, we summarize the basic properties of nonholonomic $r$ -jets.

Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

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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...

Jet spaces as nonrigid Carnot groups.

Warhurst, Ben (2005)

Journal of Lie Theory

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Existence and construction of Vessiot connections.

Fesser, Dirk, Seiler, Werner M. (2009)

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

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

Enriquez, Benjamin (2003)

Journal of Lie Theory

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Natural transformations between T²₁TM and TT²₁M

Miroslav Doupovec (1991)

Annales Polonici Mathematici

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We determine all natural transformations T²₁T*→ T*T²₁ where $T_{k}^{r} M = J_{0}^{r} (ℝ^{k}, M)$ . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.

On a diffeological group realization of certain generalized symmetrizable Kac-Moody Lie algebras.

Leslie, Joshua (2003)

Journal of Lie Theory

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Higher order connections.

Eastwood, Michael G. (2009)

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

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