Geodesic
Harmonic Analysis on a Class of Spherical Homogeneous Spaces
Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 703-711

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The spectrum of representations of a semisimple algebraic group in spaces of sections of homogeneous linear bundles on a certain class of spherical homogeneous spaces is studied; the algebra of invariant functions on the cotangent bundles of spaces from this class and invariant differential operators are described.
Keywords: semisimple complex algebraic group, irreducible representation, homogenous space, homogeneous linear bundle, spherical homogeneous space, cotangent bundle, invariant differential operator, Borel subgroup, universal enveloping algebra. 
@article{MZM_2011_90_5_a5,
     author = {N. E. Gorfinkel},
     title = {Harmonic {Analysis} on a {Class} of {Spherical} {Homogeneous} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {703--711},
     publisher = {mathdoc},
     volume = {90},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a5/}
}
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N. E. Gorfinkel. Harmonic Analysis on a Class of Spherical Homogeneous Spaces. Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 703-711. http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a5/