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Introduction to representations in analytic cohomology. (English) Zbl 0812.22008
Eastwood, Michael (ed.) et al., The Penrose transform and analytic cohomology in representation theory. AMS-IMS-SIAM summer research conference, June 27 - July 3, 1992, South Hadley, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 154, 1-19 (1993).
A survey of background and old results concerning representations in cohomology sections of vector bundles is given.
For the entire collection see [Zbl 0780.00026].
Reviewer: K.Riives (Tartu)

##### MSC:
 22E41 Continuous cohomology of Lie groups 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods 32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results 20G05 Representation theory for linear algebraic groups 55R91 Equivariant fiber spaces and bundles in algebraic topology 83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
##### Keywords:
representations; cohomology sections; vector bundles