Explicit quantization of the Kepler manifold
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- by Robert J. Blattner and Joseph A. Wolf PDF
- Proc. Amer. Math. Soc. 77 (1979), 145-149 Request permission
Abstract:
Any representation $\pi$ of ${\text {SO}}(2,4)$ quantizing the Kepler manifold has the same lowest highest weight as the representation ${\nu _0}$ in the Sternberg-Wolf description of the $U(2,2)$-restriction of the metaplectic representation of ${\text {Sp}}(4;{\mathbf {R}})$. Hence, modulo covering groups, $\pi$ is unitarily equivalent to ${\nu _0}$.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 145-149
- MSC: Primary 22E45; Secondary 58F06
- DOI: https://doi.org/10.1090/S0002-9939-1979-0539648-1
- MathSciNet review: 539648