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Functional Analysis VII
September 17-26, 2001
Department of Mathematics, University of Zagreb, Croatia
Dubrovnik, Croatia

Organizers
Hrvoje Kraljevic, Zagreb, Croatia; Davor Butkovic, Zagreb, Croatia; Murali Rao, Gainesville, Florida, USA

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Dirac cohomology and unitary representations
by
Pavle Pandžić
University of Zagreb
Coauthors: Jing-Song Huang, Hong Kong University of Science and Technology

Dirac operators are an important tool in representation theory and analysis on manifolds. In our recent paper we proved a conjecture of D. Vogan, describing the infinitesimal character of a unitary representation X of a real semisimple group, such that the Dirac operator has a nonzero kernel on X tensored by the spinors.

Date received: July 24, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagt-62.