Hopf structure of the Yangian Y(sl_n) in the Drinfel'd realisation

Abstract

The Yangian of the Lie algebra sl_n is known to have different presentations, in particular the RTT realisation and the Drinfel'd realisation. Using the isomorphism between them, the explicit expressions of the comultiplication, the antipode and the counit in the Drinfel'd realisation of the Yangian Y(sl_n) are given. As examples, the cases of Y(sl_2) and Y(sl_3) are worked out.

14 pages

References in corpus (1)

• Super Yangian Y(osp(1|2)) and the Universal R-matrix of its Quantum Double

Cited by in corpus (7)

• Introduction to Yangian symmetry in integrable field theory
• Parabolic presentations of the Yangian Y(gl_n)
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• Equivalences between three presentations of orthogonal and symplectic Yangians
• The RTT-Realization for the Deformed gl(2|2) Yangian
• Yangian of the Strange Lie Superalgebra of ${\mathbf{Q}}_{\mathbf{n}-1}$ Type, Drinfel'd Approach
• Center of the Yangian double in type A