Trace decategorification of categorified quantum sl(3)
Marko \v{Z}ivkovi\'c
TL;DR
This paper demonstrates that the trace of the categorified quantum sl(3) aligns with the original quantum sl(3), offering a new perspective on decategorification in quantum algebra.
Contribution
It provides an alternative decategorification method by identifying the trace of the categorified quantum sl(3) with the original quantum sl(3).
Findings
Trace of categorified quantum sl(3) equals quantum sl(3)
Offers a new approach to decategorification
Bridges categorification and quantum algebra
Abstract
We prove that the trace of categorified quantum sl(3) introduced by M. Khovanov and A. Lauda can also be identified with quantum sl(3), thus providing an alternative way of decategorification.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Topological and Geometric Data Analysis · Advanced Algebra and Logic