Geodesic
The Chevalley and Costant theorems for Mal'tsev algebras
Algebra i logika, Tome 46 (2007) no. 5, pp. 560-584

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Centers of universal envelopes for Mal'tsev algebras are explored. It is proved that the center of the universal envelope for a finite-dimensional semisimple Mal'tsev algebra over a field of characteristic 0 is a ring of polynomials in a finite number of variables equal to the dimension of its Cartan subalgebra, and that universal enveloping algebra is a free module over its center. Centers of universal enveloping algebras are computed for some Mal'tsev algebras of small dimensions.
Keywords: Lie algebra, Mal'tsev algebra, bialgebra, universal enveloping algebra, primitive elements, center of algebra, Chevalley theorem, Costant theorem. 
@article{AL_2007_46_5_a2,
     author = {V. N. Zhelyabin and I. P. Shestakov},
     title = {The {Chevalley} and {Costant} theorems for {Mal'tsev} algebras},
     journal = {Algebra i logika},
     pages = {560--584},
     publisher = {mathdoc},
     volume = {46},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2007_46_5_a2/}
}
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V. N. Zhelyabin; I. P. Shestakov. The Chevalley and Costant theorems for Mal'tsev algebras. Algebra i logika, Tome 46 (2007) no. 5, pp. 560-584. http://geodesic.mathdoc.fr/item/AL_2007_46_5_a2/