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On the Dirac cohomology of complex lie group representations

✍ Scribed by CHAO-PING DONG


Book ID
120780818
Publisher
SP Birkhäuser Verlag Boston
Year
2013
Tongue
English
Weight
402 KB
Volume
18
Category
Article
ISSN
1083-4362

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On the 1-cohomology of Lie groups
✍ Georges Pinczon; Jacques Simon 📂 Article 📅 1975 🏛 Springer 🌐 English ⚖ 464 KB

Given a continuous representation of a Lie group in a Banach space we study its l-cohomology. We prove that the computation of the l-cocycles can be reduced to that of the l-cocycles of the differential of the representation. When the group is semi-simple and the representation is K-finite, we prove