A categorification of the Casimir of quantum sl(2)
Anna Beliakova, Mikhail Khovanov, and Aaron D. Lauda
TL;DR
This paper presents a categorification of the Casimir element within the framework of quantum sl(2), providing a higher-level algebraic structure that enhances understanding of quantum group invariants.
Contribution
It introduces a novel categorification of the Casimir element for the idempotented form of quantum sl(2), advancing the algebraic and categorical understanding of quantum groups.
Findings
Constructed a categorified version of the Casimir element.
Demonstrated how the categorification relates to existing quantum group structures.
Provided new insights into the representation theory of quantum sl(2).
Abstract
We categorify the Casimir element of the idempotented form of quantum sl(2).
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