Keywords
- Vector Bundle
- Positive Polarization
- Maximal Compact Subgroup
- Nilpotent Orbit
- Left Action
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
L. Auslander and B. Kostant, Polarization and unitary representations of solvable Lie groups, Invent. Math. 14 (1971), 255–354.
R. Blattner, On induced representations II: infinitesimal induction, Amer. J. Math. 83 (1961), 499–512.
_____, Quantization and representation theory, Proc. Sympos. Pure Math., vol. 26, Amer. Math. Soc., Providence, R.I., 1974, pp. 145–165.
_____, Pairing of half-form spaces, proceedings of the ‘Colloque Symplectique’, Aix-en-Provence 1974, to appear.
_____, Intertwining operators and the half-density pairing, Lecture Notes in Math., vol. 466, Springer-Verlag, Berlin, 1975, pp. 1–12.
J. Dixmier, Représentations induites holomorphes des groupes résolubles algébriques, Bull. Soc. Math. France 94 (1966), 181–206.
I. M. Gel'fand and M. I. Graev, Unitary representations of the real unimodular group (principal non-degenerate series), Izv. Akad. Nauk SSSR. Ser. Mat. 17 (1953), 189–248 (in Russian). Amer. Math. Soc. Translations, Ser. 2, vol. 2, 147–205.
B. Kostant, Quantization and unitary representations, Lecture Notes in Math., vol. 170, Springer-Verlag, Berlin, 1970, pp. 237–253.
_____, Symplectic spinors, Symposia Math., vol. XIV, Academic Press, London, 1974, pp. 139–152.
L. Rothschild and J. Wolf, Representations of semisimple groups associated to nilpotent orbits, Ann. Sci. Ecole Norm. Sup. (4) 1 (1974), 155–174.
I. Satake, Factors of automorphy and Fock representations, Advances in Math. 7 (1971), 83–110.
E. Spanier, Algebraic topology, McGraw-Hill, New York, 1966.
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Blattner, R.J. (1977). The metalinear geometry of non-real polarizations. In: Bleuler, K., Reetz, A. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087780
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DOI: https://doi.org/10.1007/BFb0087780
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