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arXiv · 2107.09999

Twisted Affine Yangian and Rectangular $W$-algebra of type $D$

Mamoru Ueda
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Abstract

We define the twisted affine Yangian of type $C$ and construct surjective homomorphisms from twisted affine Yangians of type $C$ to the universal enveloping algebra of the rectangular $W$-algebra associated with $\mathfrak{so}(ln)$ and a nilpotent element whose Jordan form corresponds to the partition $(l^n)$ in the case when $l$ and $n$ are even.

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Mamoru Ueda. 2021-07-21. Twisted Affine Yangian and Rectangular $W$-algebra of type $D$. https://arxiv.org/abs/2107.09999

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