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

MathSciNet review:
1276935

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Abstract | References | Similar Articles | Additional Information

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:
http://dx.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