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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces
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by Simon Gindikin and Bernhard Krötz PDF
Trans. Amer. Math. Soc. 354 (2002), 3299-3327 Request permission

Abstract:

In this paper we define a distinguished boundary for the complex crowns $\Xi \subseteq G_{\mathbb {C}} /K_{\mathbb {C}}$ of non-compact Riemannian symmetric spaces $G/K$. The basic result is that affine symmetric spaces of $G$ can appear as a component of this boundary if and only if they are non-compactly causal symmetric spaces.
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Additional Information
  • Simon Gindikin
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
  • MR Author ID: 190961
  • Email: gindikin@math.rutgers.edu
  • Bernhard Krötz
  • Affiliation: The Ohio State University, Department of Mathematics, 231 West 18th Avenue, Columbus, Ohio 43210-1174
  • Email: kroetz@math.ohio-state.edu
  • Received by editor(s): November 2, 2001
  • Published electronically: April 3, 2002
  • Additional Notes: The first author was supported in part by NSF-grant DMS-0097314 and the MSRI
    The second author was supported in part by NSF-grant DMS-0070816 and the MSRI
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 3299-3327
  • MSC (2000): Primary 22E46
  • DOI: https://doi.org/10.1090/S0002-9947-02-03012-X
  • MathSciNet review: 1897401