Harish-Chandra bimodules in the Deligne category $\text{Rep}(G{L}_t)$

Abstract

In this paper we study the category of Harish-Chandra bimodules $H{C}_{\chi ,\psi }$ in the Deligne category $\text{Rep}(G{L}_t)$. In particular, we answer Question 3.25 posed in Pavel Etingof's paper arXiv:1407.0373 and determine for which central characters $\chi$ and $\psi$ this category is not zero.

References in corpus (3)

• Deligne categories as limits in rank and characteristic
• Simple commutative algebras in Deligne's categories Rep($S_t$)
• Harish-Chandra bimodules of finite $K$-type in Deligne categories

Cited by in corpus (1)

• Harish-Chandra bimodules of finite $K$-type in Deligne categories