Yangians and classical Lie algebras
Sep, 1994
83 pages
Published in:
- Russ.Math.Surveys 51 (1996) 205
e-Print:
- hep-th/9409025 [hep-th]
Report number:
- CMA-MR-53-93
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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.References(39)
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