1School of Mathematics Sciences, Zhejiang University, Hangzhou 310027, P. R. China 2College of Science, Zhejiang Agriculture and Forestry University, Hangzhou 311300, P. R. China
Journal of Lie Theory, Tome 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.
1
School of Mathematics Sciences, Zhejiang University, Hangzhou 310027, P. R. China
2
College of Science, Zhejiang Agriculture and Forestry University, Hangzhou 311300, P. R. China
Maosen Xu; Yan Tan; Zhixiang 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/JOLT_2021_31_1_a1/
@article{JOLT_2021_31_1_a1,
author = {Maosen Xu and Yan Tan and Zhixiang Wu},
title = {On the {Lie} {Pseudoalgebra} {W(m,} \ensuremath{\pi}, g)},
journal = {Journal of Lie Theory},
pages = {15--28},
year = {2021},
volume = {31},
number = {1},
zbl = {1469.17031},
url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a1/}
}
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AU - Yan Tan
AU - Zhixiang Wu
TI - On the Lie Pseudoalgebra W(m, π, g)
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