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# Yangians and transvector algebras

@article{Molev2002YangiansAT, title={Yangians and transvector algebras}, author={A. I. Molev}, journal={Discrete Mathematics}, year={2002}, volume={246}, pages={231-253} }

- Published 2002 in Discrete Mathematics
DOI:10.1016/S0012-365X(01)00260-6

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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