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4 papers
The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic
Alexandra Utiralova
Following the work of Venkatesh (arXiv:2203.03158), we study further the categories of representations of the general linear groups in the Verlinde category in char…
Harish-Chandra bimodules of finite -type in Deligne categories
Alexandra Utiralova, Serina Hu
We continue the study of Harish-Chandra bimodules in the setting of the Deligne categories , that was started in the previous work of the first author (arXiv:200…
Harish-Chandra bimodules in the Deligne category
Alexandra Utiralova
In this paper we study the category of Harish-Chandra bimodules in the Deligne category . In particular, we answer Question 3.25 posed in Pavel Etingof…
Olshanski's Centralizer Construction and Deligne Tensor Categories
Alexandra Utiralova
The family of Deligne tensor categories is obtained from the categories of finite dimensional representations of groups by interpo…