Remark on Siegel domains of type $\textrm {III}$
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- by Joseph A. Wolf PDF
- Proc. Amer. Math. Soc. 30 (1971), 487-491 Request permission
Abstract:
Bounded symmetric domains have standard realizations as āSiegel domains of type III.ā PjateckiÄ-Å apiro has introduced a more restrictive notion of āSiegel domain of type III.ā Here we give a direct proof that those standard realizations satisfy the additional conditions of the new definition.References
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I. I. PjateckiÄ-Å apiro, Geometry of classical domains and theory of automorphic functions, Fizmatgiz, Moscow, 1961. MR 25 #231.
- I. I. PjateckiÄ-Å apiro, Arithmetic groups in complex domains, Uspehi Mat. Nauk 19 (1964), no.Ā 6 (120), 93ā121 (Russian). MR 0190377
- I. I. Pyateskii-Shapiro, Automorphic functions and the geometry of classical domains, Mathematics and its Applications, Vol. 8, Gordon and Breach Science Publishers, New York-London-Paris, 1969. Translated from the Russian. MR 0252690
- Joseph A. Wolf and Adam KorĆ”nyi, Generalized Cayley transformations of bounded symmetric domains, Amer. J. Math. 87 (1965), 899ā939. MR 192002, DOI 10.2307/2373253
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 487-491
- MSC: Primary 32N15; Secondary 53C35
- DOI: https://doi.org/10.1090/S0002-9939-1971-0293125-7
- MathSciNet review: 0293125