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arXiv · hep-th/9409025

Yangians and Classical Lie Algebras

A. Molev·M. Nazarov·G. Olshanskii
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Abstract

We study in detail the structure of the Yangian Y(gl(N)) and of some new Yangian-type algebras called twisted Yangians. The algebra Y(gl(N)) is a `quantum' deformation of the universal enveloping algebra U(gl(N)[x]), where gl(N)[x] is the Lie algebra of gl(N)-valued polynomial functions. The twisted Yangians are quantized enveloping algebras of certain twisted Lie algebras of polynomial functions which are naturally associated to the B, C, and D series of the classical Lie algebras.

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A. Molev, M. Nazarov, G. Olshanskii. 1994-09-26. Yangians and Classical Lie Algebras. https://arxiv.org/abs/hep-th/9409025

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