Yangians and Classical Lie Algebras

Details Yangians and Classical Lie Algebras Yangians and Classical Lie Algebras

1994-09-05

arxiv.org/abs/hep-th/9409025v2

Russ.Math.Surveys 51 (1996) 205

Physics

High Energy Physics

High Energy Physics - Theory

105 pages, AmSTeX, CMA-MR53-93 (list of references is completed, minor improvements are made)

Scientific paper

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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