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TIght maps and holomorphicity

Oskar Hamlet (Institutionen för matematiska vetenskaper)
Transformation groups (1083-4362). Vol. 19 (2014), 4, p. 999-1026.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Tight homomorphisms, Hermitian symmetric spaces, Bounded cohomology



Denna post skapades 2014-12-02. Senast ändrad 2014-12-22.
CPL Pubid: 207037

 

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