Geodesic
Identities and Invariant Operators on Homogeneous Spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 3, pp. 393-408

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We study identities (functional relations between the generators of the transformation group) and also algebras of invariant operators on homogeneous spaces using the method of orbits of the coadjoint representation (coadjoint orbits). This method permits establishing the relation between these two objects and elaborating an algorithm for their construction. A classification of homogeneous spaces is introduced based on the coadjoint orbit method. 
@article{TMF_2001_126_3_a2,
     author = {I. V. Shirokov},
     title = {Identities and {Invariant} {Operators} on {Homogeneous} {Spaces}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--408},
     publisher = {mathdoc},
     volume = {126},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_3_a2/}
}
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I. V. Shirokov. Identities and Invariant Operators on Homogeneous Spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 3, pp. 393-408. http://geodesic.mathdoc.fr/item/TMF_2001_126_3_a2/