TL;DR
This paper introduces a new action of the rak{sl}_2-crystal category on graded and mixed category alO, extending the traditional tensor product to a categorified setting.
Contribution
It defines a novel rak{sl}_2-crystal action on graded/mixed category alO that lifts the standard tensor product, advancing categorification techniques.
Findings
Established a new rak{sl}_2-crystal action on category alO
Extended tensor product to a categorified setting
Provided a framework for further categorification research
Abstract
An action of the -crystal category on graded/mixed (integral) category `lifting' the usual tensor product is defined.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra