Yangians and transvector algebras

  title={Yangians and transvector algebras},
  author={A. I. Molev},
  journal={Discrete Mathematics},
Olshanski' s centralizer construction provides a realization of the Yangian Y(m) for the Lie algebra gl(m) as a subalgebra in the projective limit algebra A m = lim proj A m (n) as n → ∞, where A m (n) is the centralizer of gl(n − m) in the enveloping algebra U(gl(n)). We give a modified version of this construction based on a quantum analog of Sylvester's theorem. We then use it to get an algebra homomorphism from the Yangian Y(n) to the transvector algebra associated with the pair gl(m) ⊂ gl… CONTINUE READING

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