Keywords
- Maximal Torus
- Maximal Compact Subgroup
- Open Orbit
- Levi Form
- Homogeneous Domain
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Bibliography
Corwin, Rothschild, Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups, Acta 147 (1981) 265–288.
Penney, The theory of ad-associative Lie algebras, Pacific J. of Math. 99 (1982) 459–472.
Penney, Holomorphically induced representations on nilpotent Lie groups and automorphic forms on nilmanifolds, Trans. Amer. Math. Soc. 260 (1980) 123–145.
Pjateckii-Sapiro, Geometry and classification of homogeneous bounded domains, Uspehi Math. Nauk, 20 (1965), 3–51 Russian Math. Surv. 20 (1966), 1–48.
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© 1984 Springer-Verlag
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Penney, R. (1984). Harmonic analysis on unbounded homogeneous domains in ℂn . In: Herb, R., Johnson, R., Lipsman, R., Rosenberg, J. (eds) Lie Group Representations III. Lecture Notes in Mathematics, vol 1077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072344
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DOI: https://doi.org/10.1007/BFb0072344
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