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

Suggestion of a definition of the twisted affine Yangian of type $D$

Mamoru Ueda

We suggest a definition of the 1-parameter twisted affine Yangian $T Y_{ℏ} (so (n))$ and the 2-parameter twisted affine Yangian $TY_{\hbar,\ve}(\widehat{\math…

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

Suggestion of a definition of the twisted affine Yangian of type D

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 $A$

Suggestion of a definition of the twisted affine Yangian of type $D$

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