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On the cohomologies of infinite — dimensional Lie algebras of vector fields

✍ Scribed by M. V. Losik


Publisher
Springer US
Year
1970
Tongue
English
Weight
648 KB
Volume
4
Category
Article
ISSN
0016-2663

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📜 SIMILAR VOLUMES


On the Cohomology of Infinite Dimensiona
✍ A. Fialowski 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 289 KB

In the paper one- and two-dimensional cohomology is compared for finite and infinite nilpotent Lie algebras, with coefficients in the adjoint representation. It turns out that, because the adjoint representation is not a highest weight representation in infinite dimension, the considered cohomology