47 citations · 89 across the 13 of their papers we have counts for
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The R-matrix of the affine Yangian
Andrea Appel, Sachin Gautam, Curtis Wendlandt
Let g be an affine Lie algebra with associated Yangian Y_hg. We prove the existence of two meromorphic R-matrices associated to any pair of representations of Y_hg in the category…
Poles of finite-dimensional representations of Yangians
Sachin Gautam, Curtis Wendlandt
Let be a finite-dimensional simple Lie algebra over , and let be the Yangian of . In this paper, we study the set…
An explicit isomorphism between quantum and classical sl(n)
Andrea Appel, Sachin Gautam
Let g be a complex, semisimple Lie algebra. Drinfeld showed that the quantum group associated to g is isomorphic as an algebra to the trivial deformation of the universal envelopin…
Cluster algebras and Grassmannians of type G2
Sachin Gautam
We prove a conjecture of Geiss, Leclerc and Schröer, producing cluster algebra structures on multi-homogeneous coordinate ring of partial flag varieties, for the case . As a c…