4 papers
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…
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…
The Steinberg Tensor Product Theorem for General Linear Group Schemes in the Verlinde Category
Arun S. Kannan
The Steinberg tensor product theorem is a fundamental result in the modular representation theory of reductive algebraic groups. It describes any finite-dimensional simple module o…
Classification of Non-Degenerate Symmetric Bilinear and Quadratic Forms in the Verlinde Category
Iz Chen, Arun S. Kannan, Krishna Pothapragada
Although Deligne's theorem classifies all symmetric tensor categories (STCs) with moderate growth over algebraically closed fields of characteristic zero, the classification does n…