163 citations · 378 across the 16 of their papers we have counts for
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Affine super Yangians and deformed double current superalgebras
Nicolas Guay, Peggy Jankovic, Mamoru Ueda
We extend to the super Yangian of the special linear Lie superalgebra and its affine version certain results related to Schur-Weyl duality. We do the same for…
Highest Weight Modules Over The Quantum Periplectic Superalgebra of Type
Saber Ahmed, Dimitar Grantcharov, Nicolas Guay
In this paper, we begin the study of highest weight representations of the quantized enveloping superalgebra of type . We introduce a Drinfeld-…
Vertex Representations for Yangians of Kac-Moody algebras
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the PBW property for simply laced af…
Representations of twisted Yangians of types B, C, D: II
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We continue the study of finite-dimensional irreducible representations of twisted Yangians associated to symmetric pairs of types B, C and D, with focus on those of types BI, CII…
Equivalences between three presentations of orthogonal and symplectic Yangians
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We prove the equivalence of two presentations of the Yangian of a simple Lie algebra and we also show the equivalence with a third presentation whe…
Local Weyl modules and cyclicity of tensor products for Yangians
Yilan Tan, Nicolas Guay
We provide a sufficient condition for the cyclicity of an ordered tensor product of fundamental repre…