22 citations · 38 across the 11 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…
Coproduct for affine Yangians and parabolic induction for rectangular -algebras
Ryosuke Kodera, Mamoru Ueda
We construct algebra homomorphisms from affine Yangians to the current algebras of rectangular -algebras both in type A. The construction is given via the coproduct and the eval…
Affine Super Yangians and Rectangular -superalgebras
Mamoru Ueda
In this paper, we construct a homomorphism from the affine super Yangian $Y_{\ve_1,\ve_2}(\widehat{\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular -…
The Surjectivity of the Evaluation Map of the Affine Super Yangian
Mamoru Ueda
There exists a homomorphism from the affine super Yangian to the completion of the universal enveloping algebra of , called the evaluation map. In thi…
Construction of Affine Super Yangian
Mamoru Ueda
In this paper, we define the affine super Yangian with a coproduct structure. We also obtain an evaluation homomorph…