A Categorification of the Ribbon Element in Quantum sl(2)

We define a bicomplex whose Euler characteristic is the idempotented version of the ribbon element of quantum s l (2). We show that properties of this bicomplex descend to the centrality, invertibility, and symmetries of the ribbon element after decategorification.

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Bibliographic Details
Published in:	Acta mathematica vietnamica Vol. 46; no. 2; pp. 225 - 264
Main Authors:	Beliakova, Anna, Habiro, Kazuo
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01-06-2021 Springer Nature B.V
Subjects:	Mathematics Mathematics and Statistics Quantum 2 Primary 18N25 Ribbon element Secondary 17B37 Bicomplex
Online Access:	Get full text
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Description
Summary:	We define a bicomplex whose Euler characteristic is the idempotented version of the ribbon element of quantum s l (2). We show that properties of this bicomplex descend to the centrality, invertibility, and symmetries of the ribbon element after decategorification.
ISSN:	0251-4184 2315-4144
DOI:	10.1007/s40306-020-00399-7