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Mathematics > Representation Theory
Title: A homomorphism from the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n))$ to the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n+1))$
(Submitted on 15 Dec 2023 (v1), last revised 1 Feb 2024 (this version, v2))
Abstract: We construct a homomorphism from the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n))$ to the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n+1))$. We also give the relationship between this homomorphism and the one from the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n))$ to the universal enveloping algebra of the rectangular algebra $\mathcal{W}^k(\mathfrak{gl}(2n),(2^n))$ constructed by the author.
Submission history
From: Mamoru Ueda [view email][v1] Fri, 15 Dec 2023 16:42:04 GMT (13kb)
[v2] Thu, 1 Feb 2024 17:33:58 GMT (13kb)
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