Yangians and their applications

Abstract

This is a review paper on the algebraic structure and representations of the A type Yangian and the B, C, D types twisted Yangians. Some applications to constructions of Casimir elements and characteristic identities for the corresponding Lie algebras are also discussed.

55 pages

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Cited by in corpus (6)

• Introduction to Yangian symmetry in integrable field theory
• Quantization of the Gaudin System
• Rational Lax operators and their quantization
• On the massless modes of the AdS3/CFT2 integrable systems
• Drinfeld Yangian of the queer Lie superalgebra. I
• KZ equation, G-opers, quantum Drinfeld-Sokolov reduction and quantum Cayley-Hamilton identity