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Dirac operators and Lie algebra cohomology

Author(s): Jing-Song Huang; Pavle Pandzic; David Renard
Journal: Represent. Theory 10 (2006), 299-313.
MSC (2000): Primary 22E47
Posted: August 7, 2006
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Additional Information:

Jing-Song Huang
Affiliation: Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR, China
Email: mahuang@ust.hk

Pavle Pandzic
Affiliation: Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
Email: pandzic@math.hr

David Renard
Affiliation: Centre de Mathématiques Laurent Schwartz, Ecole Polytechnique, 91128 Palaiseau Cedex, France
Email: renard@math.polytechnique.fr

DOI: 10.1090/S1088-4165-06-00267-6
PII: S 1088-4165(06)00267-6
Keywords: Semisimple Lie group, unitary representation, admissible representation, Dirac operator, Lie algebra cohomology
Received by editor(s): January 11, 2005
Received by editor(s) in revised form: March 6, 2006
Posted: August 7, 2006
Additional Notes: The research of the first named author was partially supported by RGC-CERG grants of Hong Kong SAR and the National Nature Science Foundation of China
The research of the second named author was partially supported by a grant from the Ministry of Science and Technology of the Republic of Croatia.
The second and third named authors were also supported by the joint French-Croatian program COGITO. Parts of this work were done during the authors' visits to CNRS, University of Paris VII, Mathematisches Forschungsinstitut Oberwolfach, and the Institute of Mathematical Sciences and the Department of Mathematics at the National University of Singapore. The authors thank these institutions for their generous support and hospitality.
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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