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
On the Cohomology of the Nijenhuis–Richardson Graded Lie Algebra of the Space of Functions of a Manifold
✍ Scribed by Norbert Poncin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 189 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
The aim of this paper is to determine the first three spaces of weight -1 of the adjoint cohomology of the Nijenhuis-Richardson algebra of the functions of a manifold, which are important in deformation theory (the first and second will be computed for an arbitrary weight q ≤ -1).
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