Serina Hu

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math.RT2026

Chevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde category

Pavel Etingof, Serina Hu

Let $k$ be an algebraically closed field of characteristic $p \geq 5$ , and let $Ver_{p}^{+}$ be the even part of the Verlinde fusion category $Ver_{p}$ , the semisimplifi…

math.RT2026

Polynomial functors in $Ver_{4}^{+}$

Kevin Coulembier, Serina Hu

We study polynomial functors in the incompressible category $Ver_{4}^{+}$ , which can be viewed as super polynomial functors in characteristic 2. Concretely, we classify additive…

math.RT2025

Representation Theory of General Linear Supergroups in Characteristic 2

Serina Hu

We develop representation theory of general linear groups in the category $Ver_{4}^{+}$ , the simplest tensor category which is not Frobenius exact. Since $Ver_{4}^{+}$ is a r…

math.RT2025

Lie algebras in $Ver_{4}^{+}$

Serina Hu

We develop Lie theory in the category $Ver_{4}^{+}$ over a field of characteristic 2, the simplest tensor category which is not Frobenius exact, as a continuation of arXiv:2406.…

math.RT2024

An Introduction to Deligne Categories

Serina Hu

This work hopes to be an introduction to Deligne categories for someone familiar with classical representation theory and some category theory. In the first chapter, we motivate an…

Chevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde category

Polynomial functors in Ver4+​

Representation Theory of General Linear Supergroups in Characteristic 2

Lie algebras in Ver4+​

An Introduction to Deligne Categories

Polynomial functors in $Ver_{4}^{+}$

Lie algebras in $Ver_{4}^{+}$