Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Atiyah, "Convexity and commuting Hamiltonians", Bull. London Math. Soc. 14 (1982), 1–15
L. Boutet de Monvel and V. Guillemin, "The Spectral Theory of Toeplitz Operators", Annals of Math. Studies no. 99, Princeton U. Press, Princeton N. J. (1981)
V. Guillemin and S. Sternberg, "On the equations of motion of a classical particle in a Yang-Mills field and the principle of general covariance", Hadronic Journal 1. (1978)
V. Guillemin and S. Sternberg, "Moments and reductions", to appear in the Proceedings of the Clausthal Summer School on Mathematical Physics (July 1980)
V. Guillemin and S. Sternberg, "The Marsden-Weinstein theorem and geometric quantization", Proceedings of Winter Research Institute on Geometric Quantization, Banff, 1981
V. Guillemin and S. Sternberg, "Geometric quantization and multicities of group representations", Invent. Math. 67 (1982), 515–538
V. Guillemin and S. Sternberg, "Homogeneous quantization and multiplicities of group representations", Jour.Funct.Anal. 47 (1980), 344–380
V. Guillemin and S. Sternberg, "Convexity properties of the moment mapping", Invent. Math. 67 (1982), 491–513
V. Guillemin and S. Sternberg, "On the universal phase spaces for homogeneous principal bundles", Letters in Math. Phys. 6 (1982), 231–232
G. Heckman, "Projections of orbits and asymptotic behavior of multiplicities for compact Lie groups, (pre-print)
D. Kazhdan, B. Kostant and S. Sternberg, "Hamiltonian group actions and dynamical systems of Calogero type", Comm. in Pure and Appl. Math. 31, (1978), 481–507
B. Kostant, "Orbits, symplectic structures, and representation theory", Proc. US-Japan Seminar in Differential Geometry, Kyoto (1965), Nippon Hyoronsha, Tokyo (1966)
B. Kostant, "On convexity, the Weyl group and the Iwasawa decomposition", Ann. Sci. Ec. Norm. Sup. 6 (1973), 413–455
G. Mackey, "Induced Representations of Groups and Quantum Mechanics, Benjamin, New York (1968)
S. Paneitz, "Classification of invariant convex cones in simple Lie algebras", preprint UCB (1980)
S. Sternberg, "Symplectic homogeneous spaces", Trans. AMS, 212 (1975), 113–130
S. Sternberg, "Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field", Proc. Nat. Acad. Sci., USA (1977)
N. Wallach, "Harmonic Analysis on Homogeneous Spaces, Marcel Dekker, New York (1973)
A. Weinstein, "Symplectic V-manifolds, periodic orbits of Hamiltonian systems and the volume of certain Riemannian manifolds", Comm. Pure Appl. Math. 30 (1977), 265–271
V. Guillemin and S. Sternberg, "A universal phase space for particles in Yang-Mills fields", Letters in Math. Physics 2 (1978), 417–420
N. Woodhouse, "Geometric Quantization", Clarendon Press, Oxford (1980)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guillemin, V., Sternberg, S. (1983). The frobenius reciprocity theorem from a symplectic point of view. In: Andersson, S.I., Doebner, HD. (eds) Non-linear Partial Differential Operators and Quantization Procedures. Lecture Notes in Mathematics, vol 1037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073175
Download citation
DOI: https://doi.org/10.1007/BFb0073175
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12710-9
Online ISBN: 978-3-540-38695-7
eBook Packages: Springer Book Archive