Displaying similar documents to “Curved Casimir operators and the BGG machinery.”

Coactions and fell bundles.

Kaliszewski, S., Muhly, Paul S., Quigg, John, Williams, Dana P. (2010)

The New York Journal of Mathematics [electronic only]

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Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles.

Wlodzimierz M. Mikulski (2006)

Extracta Mathematicae

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Let A be a Weil algebra and V be an A-module with dim V < ∞. Let E → M be a vector bundle and let TE → TM be the vector bundle corresponding to (A,V). We construct canonically a linear semibasic tangent valued p-form Tφ : T E → ΛT*TM ⊗ TTE on TE → TM from a linear semibasic tangent valued p-form φ : E → ΛT*M ⊗­ TE on E → M. For the Frolicher-Nijenhuis bracket we prove that [[Tφ, Tψ]] = T ([[φ,ψ]]) for any linear semibasic tangent valued p- and q-forms φ and ψ on E → M. We apply...

Representation of a gauge group as motions of a Hilbert space

Clara Lucía Aldana Domínguez (2004)

Annales mathématiques Blaise Pascal

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This is a survey article based on the author’s Master thesis on affine representations of a gauge group. Most of the results presented here are well-known to differential geometers and physicists familiar with gauge theory. However, we hope this short systematic presentation offers a useful self-contained introduction to the subject. In the first part we present the construction of the group of motions of a Hilbert space and we explain the way in which it can be considered...

Various structures in 8-dimensional vector bundles over 8-manifolds

Martin Čadek, Jiří Vanžura (1998)

Banach Center Publications

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The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.