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Hamiltonian structures for homogeneous spaces. (English) Zbl 0211.24402


MSC:

53C30 Differential geometry of homogeneous manifolds
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[1] Bargmann, V., Wigner, E. P.: Group-theoretical discussion of relativistic wave equations, Proc. Natl. Acad. Sci. U.S.34, 211–223 (1948). · Zbl 0030.42306 · doi:10.1073/pnas.34.5.211
[2] Chevalley, C.: Lie groups, Princeton U.P. 1946. · Zbl 0063.00842
[3] —- Eilenberg, S.: Cohomology theory of Lie groups and Lie algebras, Trans. Am. Math. Soc.63, 85–124 (1948). · Zbl 0031.24803 · doi:10.1090/S0002-9947-1948-0024908-8
[4] Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962. · Zbl 0111.18101
[5] Sternberg, S.: Differential geometry. Englewood Cliffs, N. Jersey: Prentice Hall 1964. · Zbl 0129.13102
[6] Arens, R.: Invariant sublogics as a way from scalar to manycomponent wave equations, J. Math. Mech.15, 344–372 (1966). · Zbl 0144.23502
[7] —- A quantum-dynamical relativistically-invariant rigid body system, Trans. Am. Math. Soc.147, 153–201 (1970). · Zbl 0192.61701 · doi:10.1090/S0002-9947-1970-0275810-X
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