Quantization of Equivariant Vector Bundles

Details Quantization of Equivariant Vector Bundles Quantization of Equivariant Vector Bundles

1997-08-29

arxiv.org/abs/q-alg/9708030v3

Commun.Math.Phys. 202 (1999) 517-546

Physics

High Energy Physics

High Energy Physics - Theory

33 pages. AMS-LaTeX. Contains table-of-contents, so run LaTeX 3 times. Minor improvements, 2 added references. Continued by ma

Scientific paper

10.1007/s002200050594

The quantization of vector bundles is defined. Examples are constructed for the well controlled case of equivariant vector bundles over compact coadjoint orbits. (Coadjoint orbits are symplectic spaces with a transitive, semisimple symmetry group.) In preparation for the main result, the quantization of coadjoint orbits is discussed in detail. This subject should not be confused with the quantization of the total space of a vector bundle such as the cotangent bundle.

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