A homomorphism from the affine Yangian $Y_{\hslash ,\epsilon }(\widehat{\mathfrak{sl}}(n))$ to the affine Yangian $Y_{\hslash ,\epsilon }(\widehat{\mathfrak{sl}}(n+1))$

Abstract

We construct a homomorphism from the affine Yangian $Y_{\hslash ,\epsilon }(\widehat{\mathfrak{sl}}(n))$ to the affine Yangian $Y_{\hslash ,\epsilon }(\widehat{\mathfrak{sl}}(n+1))$. We also give the relationship between this homomorphism and the one from the affine Yangian $Y_{\hslash ,\epsilon }(\widehat{\mathfrak{sl}}(n))$ to the universal enveloping algebra of the rectangular algebra ${\mathcal{W}}^k(\mathfrak{gl}(2n),(2^n))$ constructed by the author.

I changed the title, minor corrections