Geodesic
On the Lie Pseudoalgebra W(m, π, g)
M. Xu ; Y. Tan ; Z. Wu
Journal of Lie theory, Tome 31 (2021) no. 1, pp. 15-28
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We investigate the structure and finite irreducible representation of a Lie H-pseudoalgebra W(m, π, g), which is a generalization of the vector field Lie H-pseudoalgebra W(g) defined earlier by B. Bakalov, A. D'Andrea and V. G. Kac [Theory of finite pseudoalgebras, Advances in Mathematics 162(1) (2001) 1--140]. We prove that automorphisms of W(m, π, g) are in one-to-one correspondence with solutions of some Maurer-Cartan equation when g is a finite dimensional simple Lie algebra.
Classification : 17B30, 17B68, 17B99, 16S99
Mots-clés : Lie pseudoalgebra, singular vector, Maurer-Cartan equation 
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M. Xu; Y. Tan; Z. Wu. On the Lie Pseudoalgebra W(m, π, g). Journal of Lie theory, Tome 31 (2021) no. 1, pp. 15-28. http://geodesic.mathdoc.fr/item/JLT_2021_31_1_JLT_2021_31_1_a1/