Parabolic Presentations of the Yangian Y (gl N )

@inproceedings{BRUNDAN2004ParabolicPO,
  title={Parabolic Presentations of the Yangian Y (gl N )},
  author={JONATHAN BRUNDAN and Alexander Kleshchev},
  year={2004}
}
We introduce some new presentations for the Yangian associated to the Lie algebra gln. These presentations are parametrized by tuples of positive integers summing to n. At one extreme, for the tuple (n), the presentation is the usual RTT presentation of Yn. At the other extreme, for the tuple (1 ), the presentation is closely related to Drinfeld’s presentation. In general, the presentations are useful for understanding the structure of the standard parabolic subalgebras of Yn. 
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