Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-15T00:37:41.480Z Has data issue: false hasContentIssue false
  • English
  • Français

Peirce Domains

Published online by Cambridge University Press:  20 November 2018

Yung-Sheng Tai
Yung-Sheng Tai*
Affiliation:
Department of Mathematics Haverford College Haverford, PA USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A theorem of Korányi and Wolf displays any Hermitian symmetric domain as a Siegel domain of the third kind over any of its boundary components. In this paper we give a simple proof that an analogous realization holds for any self-adjoint homogeneous cone.

Keywords

17C27
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 3 , 01 September 1999 , pp. 412 - 416
Copyright
Copyright © Canadian Mathematical Society 1999

References

[AMRT] Ash, A., Mumford, D., Rapoport, M. and Tai, Y.-S., Smooth Compactification of Locally Symmetric Varieties. Math. Sci. Press, Brookline, MA, 1975.Google Scholar
[BB] Baily, W. and Borel, A., Compactifications of arithmetic quotients of bounded symmetric domains. Ann. Math. 84 (1966), 442–528.Google Scholar
[BS] Borel, A. and Serre, J.-P., Corners and arithmetic groups. Comment.Math. Helv. 48 (1973), 436–491.Google Scholar
[FK] Faraut, J. and Korànyi, A., Analysis on Symmetric Cones. Oxford University Press, Oxford, 1994.Google Scholar
[PS] Piatetskii-Shapiro, I. I., Automorphic Functions and the Geometry of Classical Domains. Gordon and Breach, NY, 1969. (Russian edition published earlier.)Google Scholar
[Sa] Satake, I., Algebraic Structures of Symmetric Domains. Princeton University Press, Princeton, NJ, 1980.Google Scholar
[WK] Wolf, J. and Korányi, A., Generalized Cayley transformations of bounded symmetric domains. Amer. J. Math. 87 (1965), 899–939.Google Scholar