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arXiv · 1911.07043

Equivariant homology theory and twisted Yangian

Zhijie Dong·Haitao Ma
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Abstract

We study the convolution algebra $H^{G\times \CC^{*}}_{*}(Z)$ of $G$-equivariant homology group on the Steinberg variety of type B/C and define an algebra $\widetilde{Y}$ that maps to $H^{G\times \CC^{*}}_{*}(Z)$. The Drinfeld new realization of the twisted Yangian associated to symmetric pairs is a quotient of $\widetilde{Y}$. We also study the $G$-equivariant case and prove that the twisted Yangian is the deformation of the twisted current algebra.

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Zhijie Dong, Haitao Ma. 2019-11-16. Equivariant homology theory and twisted Yangian. https://arxiv.org/abs/1911.07043

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