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math.QA2013★ 4 cited
A new formula for Pfaffian-type Segal-Sugawara vector
Natasha Rozhkovskaya
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 th…
math.QA2009
Symmetric functions for the generating matrix of Yangian of gl_n(C)
Natasha Rozhkovskaya
Analogues of classical combinatorial identities for elementary and homogeneous symmetric functions with coefficients in Yanigian are discussed. As a corollary, similar relations ar…