Geodesic
Central Elements of the Universal Enveloping Algebra and Functions of Matrix Elements
Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 323-336

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We construct central elements in $U(\mathfrak{o}_N)$ and $U(\mathfrak{g}_2)$ by using the first main theorem of invariant theory. We also construct new functions of matrix elements; these functions naturally arise when describing the center of $U(\mathfrak{g}_2)$, just as Pfaffians arise when describing the center of $U(\mathfrak{o}_N)$.
Keywords: Lie algebra, enveloping algebra, center, invariant theory, Pfaffian. 
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     author = {D. V. Artamonov and V. A. Golubeva},
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D. V. Artamonov; V. A. Golubeva. Central Elements of the Universal Enveloping Algebra and Functions of Matrix Elements. Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 323-336. http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a0/