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math.RT2025
Representation Theory of the Twisted Yangians in Complex Rank
Arun S. Kannan, Shihan Kanungo
In 2016, Etingof defined the notion of a Yangian in a symmetric tensor category and posed the problem to study them in the context of Deligne categories. This problem was studied b…
math.RT2024
Mixed Tensor Products, Capelli Berezinians, and Newton's Formula for
Sidarth Erat, Arun S. Kannan, Shihan Kanungo
In this paper, we extend the results of Grantcharov and Robitaille in 2021 on mixed tensor products and Capelli determinants to the superalgebra setting. Specifically, we construct…