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arXiv · 2211.14968

An Example of Homomorphisms from the Guay's affine Yangians to non-rectangular $W$-algebras

Mamoru Ueda
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Abstract

We construct a non-trivial homomorphism from the Guay's affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the universal enveloping algebra of the $W$-algebra associated with a Lie algebra $\mathfrak{gl}(m+n)$ and its nilpotent element whose Jordan block of type $(2^{n},1^{m-n})$ for $m>n$.

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Mamoru Ueda. 2022-11-27. An Example of Homomorphisms from the Guay's affine Yangians to non-rectangular $W$-algebras. https://arxiv.org/abs/2211.14968

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