Journal of Lie Theory

no. 1
On the Lie Pseudoalgebra W(m, π, g)
Journal of Lie Theory, Volume 31 (2021) no. 1, pp. 15-28
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.
DOI: 10.5802/jolt.1157
Classification: 17B30, 17B68, 17B99, 16S99
Keywords: Lie pseudoalgebra, singular vector, Maurer-Cartan equation 
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     author = {M. Xu and Y. Tan and Z. Wu},
     title = {On the {Lie} {Pseudoalgebra} {W(m,} \ensuremath{\pi}, g)},
     journal = {Journal of Lie Theory},
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     year = {2021},
     volume = {31},
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     zbl = {1469.17031},
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M. Xu; Y. Tan; Z. Wu. On the Lie Pseudoalgebra W(m, π, g). Journal of Lie Theory, Volume 31 (2021) no. 1, pp. 15-28. doi: 10.5802/jolt.1157

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