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

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arxiv 2107.09999 v3 pith:X3YYGIBK submitted 2021-07-21 math.QA

Mamoru Ueda This is my paper · ORCID
classification math.QA
keywords affinealgebratwistedtyperectangularyangianassociatedcase
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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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Cited by 1 Pith paper

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  1. New presentation of the twisted Yangian of type $D$

    math.QA 2025-07 conditional novelty 7.0 of 10

    A new finite presentation of the twisted Yangian of type D is proven, and a conjectural twisted affine Yangian of type D is defined.

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