Geodesic
A New Formula for the Pfaffian-Type Segal-Sugawara Vector
Journal of Lie theory, Tome 24 (2014) no. 2, pp. 529-543

Voir la notice de l'article provenant de la source Heldermann Verlag

\def\o{{\frak o}} A combinatorial formula for the Pfaffian of the universal enveloping algebra $U(\widehat{\o}_{2n})$ of the affine Kac-Moody algebra $\widehat{\o}_{2n}$ is proved. It allows us easily to compute the image of the Segal-Sugawara vector under the Harish-Chandra homomorphism and to deduce formulas for the classical Pfaffian of the universal enveloping algebra $U(\o_{2n})$ of the even orthogonal Lie algebra.
Classification : 17B35, 17B67
Mots-clés : Pfaffian, affine orthogonal Lie algebra, Feigin-Frenkel center, Harish-Chandra homomorphism 
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     author = {N. Rozhkovskaya },
     title = {A {New} {Formula} for the {Pfaffian-Type} {Segal-Sugawara} {Vector}},
     journal = {Journal of Lie theory},
     pages = {529--543},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a10/}
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N. Rozhkovskaya . A New Formula for the Pfaffian-Type Segal-Sugawara Vector. Journal of Lie theory, Tome 24 (2014) no. 2, pp. 529-543. http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a10/