Abstract
We introduce some new presentations for the Yangian associated to the Lie algebra 
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 Y
n
. At the other extreme, for the tuple (1n), 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 Y
n
.
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Communicated by L. Takhtajan
Research partially supported by the NSF (grant no. DMS-0139019).
Acknowledgement The second author would like to thank Arun Ram for stimulating conversations.
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Brundan, J., Kleshchev, A. Parabolic Presentations of the Yangian 
.
Commun. Math. Phys. 254, 191–220 (2005). https://doi.org/10.1007/s00220-004-1249-6
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DOI: https://doi.org/10.1007/s00220-004-1249-6