Abstract
The Casimir operators of the following groups are explicitely constructed:
The method is based on a particular fibre bundle structure of the generic orbits generated by the co-adjoint representation of a semi-direct product.
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References
A.P. Deemicev, N.F. Nelipa, Vestnik Moskov Univ. Ser. III, Fiz. Astronom. 21, no. 2, 3, 7; ibid no. 4, 23; ibid no. 4, 27 (1980).
M. Perroud, The fundamental invariants of inhomogeneous classical groups, preprint 1982 (submitted to the J. Math. Phys.).
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© 1983 Springer-Verlag
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Perroud, M. (1983). Casimir operators for inhomogeneous classical groups. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_8
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DOI: https://doi.org/10.1007/3-540-12291-5_8
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