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arXiv · 2511.18587

Isomeric Heisenberg and Kac-Moody categorification I

Jonathan Brundan·Alistair Savage
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Abstract

We develop a general framework for studying Abelian categories arising in isomeric representation theory, that is, representation theory broadly related to the supergroup Q(n). In this first part, we introduce notions of isomeric Heisenberg categorification and isomeric Kac-Moody categorication, and explain how to pass from the former to the latter. This is analogous to the passage from Heisenberg categorification to Kac-Moody categorification developed in our previous work with Webster.

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Jonathan Brundan, Alistair Savage. 2025-11-23. Isomeric Heisenberg and Kac-Moody categorification I. https://arxiv.org/abs/2511.18587

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