Tangent and Cotangent Bundles, and Representations of Lie Groups
Firas Hindeleh
Broschiertes Buch

Tangent and Cotangent Bundles, and Representations of Lie Groups

Versandkostenfrei!
Versandfertig in 6-10 Tagen
32,99 €
inkl. MwSt.
PAYBACK Punkte
16 °P sammeln!
We study the tangent and cotangent bundles of a Lie group G which are also Lie groups. Our main results are to show that on TG the canonical Jacobi endomorphism field S is parallel with respect to the canonical Lie group connection Lie group and that dually on the cotangent bundle of G the canonical symplectic form is parallel with respect to the canonical connection. We next prove some theorems for Lie algebra extensions in which we can obtain a group representation for the extended algebra from the representation of the lower dimensional algebra. We also determine the Lie algebra of the auto...