Transformation Groups

, Volume 19, Issue 4, pp 999–1026 | Cite as

TIGHT MAPS AND HOLOMORPHICITY

Article
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Abstract

Tight maps were introduced and studied along tight homomorphisms by Burger, Iozzi and Wienhard with aims towards maximal representations. In this paper we show that, with the exception of maps from the Poincaré disc, tight maps into classical Hermitian symmetric spaces must be holomorphic or antiholomorphic. Together with previous results this completely classi_es tight maps into classical codomains.

Keywords

Irreducible Representation Tube Type Hermitian Symmetric Space Holomorphic Embedding Irreducible Complex Representation 
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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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of MathematicsChalmers University of TechnologyGöteborgSweden
  2. 2.Department of MathematicsUniversity of GothenburgGöteborgSweden

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