Low-order cohomology of semi-simple lie groups with applications to continuous tensor products and current groups
✍ Scribed by Joachim Erven; Bernd-Jürgen Falkowski
- Publisher
- Springer Netherlands
- Year
- 1983
- Tongue
- English
- Weight
- 955 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0167-8019
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✦ Synopsis
In this survey article we give an introduction to first-order and second-order continuous cohomology of groups. The abstract algebraic set-up is then realized in the context of semi-simple Lie groups. As an application continuous tensor products and factorizable representations of current groups are described. We end the survey with a concrete example from quantum mechanics. AMS (MOS) subject classifications (1982). 22E41, 22 E70, 43A65, 43A35, 81D 15. Key words. First and second order continuous cohomology, semi-simple Lie groups, continuous tensor products, factorizable representations of current groups, axiomatic quantum mechanics.