163 citations · 378 across the 16 of their papers we have counts for
7 papers · 1 filter
Quantized enveloping superalgebra of type
Saber Ahmed, Dimitar Grantcharov, Nicolas Guay
We introduce a new quantized enveloping superalgebra attached to the Lie superalgebra of type . The superalgebra $\mathfrak{U…
Coproduct for the Yangian of an affine Kac-Moody algebra
Nicolas Guay, Hiraku Nakajima, Curtis Wendlandt
Given an affine Kac-Moody algebra, we explain how to construct a coproduct for its associated Yangian. In order to prove that this coproduct is an algebra homomorphism, we obtain,…
On deformed double current algebras for simple Lie algebras
Nicolas Guay, Yaping Yang
We prove the equivalence of two presentations of deformed double current algebras associated to a complex simple Lie algebra, the first one obtained via a degeneration of affine Ya…
Representations of twisted Yangians of types B, C, D: I
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We initiate a theory of highest weight representations for twisted Yangians of types B, C, D and we classify the finite-dimensional irreducible representations of twisted Yangians…
Twisted Yangians of small rank
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small. We…
From Twisted Quantum Loop Algebras to Twisted Yangians
Patrick Conner, Nicolas Guay
We prove how the Yangian of in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degenerat…