Twisted Affine Yangian and Rectangular $W$-algebra of type $D$ (2107.09999v3)

Published 21 Jul 2021 in math.QA

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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Authors (1)

Mamoru Ueda

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