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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The Mackey obstruction and the coadjoint orbits


Author: Zongyi Li
Journal: Trans. Amer. Math. Soc. 346 (1994), 693-705
MSC: Primary 22E60; Secondary 22E25, 58F06
DOI: https://doi.org/10.1090/S0002-9947-1994-1276935-9
MathSciNet review: 1276935
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Abstract: This paper studies the Mackey obstruction representation theory at the coadjoint orbit level. It shows how to get rid of such obstructions and to get orbits of the "little groups". Such little group data is essential for inductive construction of coadjoint orbits of general Lie groups.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1994-1276935-9
Keywords: Coadjoint orbit, the Mackey obstruction, symplectic manifold, Hamiltonian action, moment map
Article copyright: © Copyright 1994 American Mathematical Society