Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras
โ Scribed by Liu, Dong; Hu, Naihong
- Book ID
- 127391053
- Publisher
- Taylor and Francis Group
- Year
- 2004
- Tongue
- English
- Weight
- 233 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0092-7872
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Ricci tensor has been computed in several infinite dimensional situations. In this work, we shall be interested in the case of the central extension of loop groups and in the asymptotic behaviour of the Ricci tensor on free loop groups as the Riemannian metric varies. ## 1999 Academic Press [h
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