Parabolic presentations of the Yangian Y(gln)
Abstract
We derive some new presentations for the Yangian associated to the Lie algebra gln(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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