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Parabolic presentations of the Yangian Y(gl_n)

Jonathan Brundan·Alexander Kleshchev
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Abstract

We derive some new presentations for the Yangian associated to the Lie algebra gl_n(C) that are adapted to parabolic subalgebras. At one extreme, the presentation is just the usual RTT presentation, whilst at the other extreme it is a variation on Drinfeld's presentation. All these presentations play an important role in our subsequent article "Shifted Yangians and finite W-algebras".

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BibTeXRIS

Jonathan Brundan, Alexander Kleshchev. 2004-08-10. Parabolic presentations of the Yangian Y(gl_n). https://doi.org/10.1007/s00220-004-1249-6

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