Mamoru Ueda

activity

20242026

collaborators

7 papers

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.QA2025

New presentation of the twisted Yangian of type $D$

Shuichi Harako, Mamoru Ueda

We construct a new presentation of the twisted Yangian of type $D$ with a finite number of generators. By using this presentation, we propose a new definition of the twisted affine…

math.QA2024

Affine Yangians and some cosets of non-rectangular $W$ -algebras

Mamoru Ueda

We construct a homomorphism from the affine Yangian associated with $sl (q_{u} - q_{u + 1})$ to the universal enveloping algebra of a $W$ -algebra associated with $\ma…

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…

math.QA2024

Notes on a homomorphism from the affine Yangian associated with $sl^(n)$ to the affine Yangian associated with $sl (n + 1)$

Mamoru Ueda

In the previous paper, we constructed a homomorphism from the affine Yangian associated with $sl (n)$ to the standard degreewise completion of the affine Yangia…

math.RT2024

A homomorphism from the affine Yangian $Y_{ℏ, ε} (sl (n))$ to the affine Yangian $Y_{ℏ, ε} (sl (n + 1))$

Mamoru Ueda

We construct a homomorphism from the affine Yangian $Y_{ℏ, ε} (sl (n))$ to the affine Yangian $Y_{ℏ, ε} (sl (n + 1))$ .…

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±,v] from Two Involutions

New presentation of the twisted Yangian of type D

Affine Yangians and some cosets of non-rectangular W-algebras

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

Notes on a homomorphism from the affine Yangian associated with sl^(n) to the affine Yangian associated with sl(n+1)

A homomorphism from the affine Yangian Yℏ,ε​(sl(n)) to the affine Yangian Yℏ,ε​(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

New presentation of the twisted Yangian of type $D$

Affine Yangians and some cosets of non-rectangular $W$ -algebras

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

Notes on a homomorphism from the affine Yangian associated with $sl^(n)$ to the affine Yangian associated with $sl (n + 1)$

A homomorphism from the affine Yangian $Y_{ℏ, ε} (sl (n))$ to the affine Yangian $Y_{ℏ, ε} (sl (n + 1))$