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A new formula for Pfaffian-type Segal-Sugawara vector
Published 8 Sep 2013 in math.QA and math.CO | (1309.1958v1)
Abstract: A combinatorial formula for Pfaffian for the universal enveloping algebra of the affine Kac - Moody algebra of even orthogonal Lie algebra is proved. It allows easily to compute the image of this Segal-Sugawara vector under the Harish-Chandra homomorphism and to deduce formulas for classical Pfaffian of universal enveloping algebra of the even orthogonal Lie algebra.
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