Mamoru Ueda

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20242026

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math.RA2026

The images of the higher generators via the evaluation map for the affine Yangian of type $A$

Mamoru Ueda

The affine Yangian associated with $sl (n)$ has several presentations: the current presentation, the minimalistic presentation and so on. The evaluation map for…

math.RA2026

Subalgebras of the Universal Central Extension of $sl (n) [u^{\pm}, v]$ from Two Involutions

Mamoru Ueda

The affine Yangian associated with $sl (n)$ is a deformation of the universal enveloping algebra of the universal central extension of $\mathfrak{sl}(n)[u^{\pm}…

math.RA2024

Two Homomorphisms from the affine Yangian associated with $sl (n)$ to the affine Yangian associated with $sl (n + 1)$

Mamoru Ueda

We construct a homomorphism from the affine Yangian $Y_{ℏ, ε + ℏ} (sl (n))$ to the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n…

The images of the higher generators via the evaluation map for the affine Yangian of type A

Subalgebras of the Universal Central Extension of sl(n)[u±,v] from Two Involutions

Two Homomorphisms from the affine Yangian associated with sl(n) to the affine Yangian associated with sl(n+1)

The images of the higher generators via the evaluation map for the affine Yangian of type $A$

Subalgebras of the Universal Central Extension of $sl (n) [u^{\pm}, v]$ from Two Involutions

Two Homomorphisms from the affine Yangian associated with $sl (n)$ to the affine Yangian associated with $sl (n + 1)$