Arun S. Kannan

collaborators

3 papers

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 $gl (m ∣ n)$

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…

math.RT2024

Classification of Non-Degenerate Symmetric Bilinear and Quadratic Forms in the Verlinde Category $Ver_{4}^{+}$

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…

Representation Theory of the Twisted Yangians in Complex Rank

Mixed Tensor Products, Capelli Berezinians, and Newton's Formula for gl(m∣n)

Classification of Non-Degenerate Symmetric Bilinear and Quadratic Forms in the Verlinde Category Ver4+​

Mixed Tensor Products, Capelli Berezinians, and Newton's Formula for $gl (m ∣ n)$

Classification of Non-Degenerate Symmetric Bilinear and Quadratic Forms in the Verlinde Category $Ver_{4}^{+}$