Current browse context:
math.QA
Change to browse by:
References & Citations
Mathematics > Quantum Algebra
Title: Notes on a homomorphism from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the affine Yangian associated with $\widehat{\mathfrak{sl}}(n+1)$
(Submitted on 2 Feb 2024 (v1), last revised 29 Mar 2024 (this version, v2))
Abstract: In the previous paper, we constructed a homomorphism from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the standard degreewise completion of the affine Yangian associated with $\widehat{\mathfrak{sl}}(n+1)$. By using this homomorphism, we construct a homomorphism from the affine Yangian to the universal enveloping algebra of a non-rectangular $W$-algebra, which is different from the one in \cite{U7}. We also show that this homomorphism is related to the one from the quantum affine algebra associated with $\widehat{\mathfrak{sl}}(n)$ to the quantum affine algebra associated with $\widehat{\mathfrak{sl}}(n+1)$ given by Li.
Submission history
From: Mamoru Ueda [view email][v1] Fri, 2 Feb 2024 19:49:03 GMT (14kb)
[v2] Fri, 29 Mar 2024 03:07:07 GMT (13kb)
Link back to: arXiv, form interface, contact.