Cohomology of $${\mathfrak {sl}}(2)$$ acting on the space of n-ary differential operators on $${\mathbb {R}}$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s13226-021-00012-z.pdf
Reference8 articles.
1. Basdouri Okba and Nasri Elamine, $${{\mathfrak{sl}}}(2)$$ -invariant 3-ary differential operators cohomology of$${{\mathfrak{sl}}}(2)$$acting on 3-ary differential operators, Int. J. Geom. Methods Mod. Phys. 14, 1750015 (2017) [17 pages], https://doi.org/10.1142/S0219887817500153
2. Bouarroudj S, Cohomology of the vector fields Lie algebras on$${\mathbb{R}}{\mathbb{P}}^1$$acting on bilinear differential operators, International Journal of Geometric Methods in Modern Physics (2005), 2; N 1, 23-40.
3. Bouarroudj S, Ovsienko V, Three cocycles on Diff($$S^1$$) generalizing the Schwarzian derivative, Internat. Math. Res. Notices 1 (1998), 25–39.
4. Feigin B L, Fuchs D B, Homology of the Lie algebras of vector fields on the line, Func. Anal. Appl., 14 (1980) 201–212.
5. Fuchs D B, Cohomology of infinite-dimensional Lie algebras, Plenum Publ. New York, 1986.
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