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The Moment Map for a Multiplicity Free Action
Author(s):
Chal
Benson;
Joe
Jenkins;
Ronald
L.
Lipsman;
Gail
atcliff
Journal:
Bull. Amer. Math. Soc.
31
(1994),
185-190.
MSC (2000):
Primary 22E30, 43A55
MathSciNet review:
1260517
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Additional information
References:
- *
- {BJLR}C.~Benson, J.~Jenkins, R.~Lipsman, and G.~Ratcliff. {\em A geometric criterion for {Gelfand} pairs associated with the {Heisenberg} group}, preprint. MR 1447402
- *
- {BJR1}C.~Benson, J.~Jenkins, and G.~Ratcliff, {\em On {Gelfand} pairs associated with solvable {Lie} groups}, Trans. Amer. Math. Soc. {\bf 321} (1990), 85--116. MR 1000329
- *
- {Car}G.~Carcanno, {\em A commutativity condition for algebras of invariant functions}, Boll. Un. Mat. Ital. {\bf 7} (1987), 1091--1105. MR 923441
- *
- {CG3}L.~Corwin and F.~Greenleaf, {\em Spectrum and multiplicities for restrictions of unitary representations in nilpotent {Lie} groups}, Pacific J. Math. {\bf 135} (1988), 233--267. MR 968611
- *
- {Gelf}I.~M. Gelfand, {\em Spherical functions on symmetric spaces}, Dokl. Akad. Nauk USSR {\bf 70} (1950), 5--8; Amer. Math. Soc. Transl. Ser. 2, vol.37, Amer.Math. Soc., Providence, RI, 1964, pp. 39--44. MR 33832
- *
- {GS2}V.~Guillemin and S.~Sternberg, {\em Geometric quantization and multiplicities of group representations}, Invent. Math. {\bf 67} (1982), 515--538. MR 664118
- *
- {GS3}\bysame, {\it Multiplicity free spaces}, J. Differential Geom. {\bf 19} (1984), 31--56. MR 739781
- *
- {Heck}G.~J. Heckman, {\em Projections of orbits and asymptotic behavior of multiplicities for compact connected {Lie} groups}, Invent. Math. {\bf 67}(1982), 333--356. MR 665160
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- {HU}R.~Howe and T.~Umeda, {\em The {Capelli} identity, the double commutant theorem and multiplicity-free actions}, Math. Ann. {\bf 290}(1991), 565--619. MR 1116239
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- {Ka}V.~Kac, {\em Some remarks on nilpotent orbits}, J. Algebra {\bf 64} (1980), 190--213. MR 575790
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- {Knop}F.~Knop, {\em A {Harish-Chandra} homomorphism for reductive group actions}, preprint. MR 1298713
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- *
- {Lip2}\bysame, {\em Orbital parameters for induced and restricted representations}, Trans. Amer. Math. Soc. {\bf 313} (1989), 433--473. MR 930083
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Additional Information:
DOI:
10.1090/S0273-0979-1994-00514-2
PII:
S 0273-0979(1994)00514-2
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