Generalized Casimir elements
Izvestiya. Mathematics , Tome 27 (1986) no. 2, pp. 391-400
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A method is given for constructing a central element in the universal enveloping algebra $\mathfrak A(L)$ of a Lie algebra $L$, generalizing the method for constructing a Casimir element and not requiring the existence of a nondegenerate invariant form on $L$. Generalized Casimir elements are constructed for certain Lie algebras of Cartan types over a field of positive characteristic.
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@article{IM2_1986_27_2_a8,
author = {A. S. Dzhumadil'daev},
title = {Generalized {Casimir} elements},
journal = {Izvestiya. Mathematics },
pages = {391--400},
publisher = {mathdoc},
volume = {27},
number = {2},
year = {1986},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a8/}
}
A. S. Dzhumadil'daev. Generalized Casimir elements. Izvestiya. Mathematics , Tome 27 (1986) no. 2, pp. 391-400. http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a8/