22 citations · 38 across the 11 of their papers we have counts for
11 papers
Commuting Subalgebras of Affine Super Yangians Arising from Edge Contractions
Mamoru Ueda
In the previous paper, we constructed two kinds of edge contractions for the affine super Yangian and a homomorphism from the affine super Yangian to the universal enveloping algeb…
Affine super Yangians and non-rectangular -superalgebras
Mamoru Ueda
We construct four edge contractions for the affine super Yangian of type . By using these edge contractions, we give a homomorphism from the affine super Yangian of type to…
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…
The coproduct for the affine Yangian and the parabolic induction for non-rectangular -algebras
Mamoru Ueda
By using the coproduct and evaluation map for the affine Yangian and the Miura map for non-rectangular -algebras, we construct a homomorphism from the affine Yangian associated…
Guay's affine Yangians and non-rectangular -algebras
Mamoru Ueda
We construct a non-trivial homomorphism from the Guay's affine Yangian to the universal enveloping algebra of non-rectangular -algebras of type . In order to construct the ho…
An Example of Homomorphisms from the Guay's affine Yangians to non-rectangular -algebras
Mamoru Ueda
We construct a non-trivial homomorphism from the Guay's affine Yangian associated with to the universal enveloping algebra of the -algebra associate…
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…
Twisted Affine Yangian and Rectangular -algebra of type
Mamoru Ueda
We define the twisted affine Yangian of type and construct surjective homomorphisms from twisted affine Yangians of type to the universal enveloping algebra of the rectangu…
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…