# Cyclicity for categorified quantum groups

Beliakova, Anna; Habiro, Kazuo; Lauda, Aaron D; Webster, Ben (2016). Cyclicity for categorified quantum groups. Journal of Algebra, 452:118-132.

## Abstract

We equip the categorified quantum group attached KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that $\mathit{f}$ =$\mathit{f}^{**}$ for all 2-morphisms $\mathit{f}$. This is accomplished via a modified diagrammatic formalism.

## Abstract

We equip the categorified quantum group attached KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that $\mathit{f}$ =$\mathit{f}^{**}$ for all 2-morphisms $\mathit{f}$. This is accomplished via a modified diagrammatic formalism.

## Statistics

### Citations

Dimensions.ai Metrics
4 citations in Web of Science®
3 citations in Scopus®
4 citations in Microsoft Academic
Google Scholar™

### Downloads

4 downloads since deposited on 12 Jan 2017
3 downloads since 12 months
Detailed statistics

## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 4 February 2016 12 Jan 2017 07:31 19 Aug 2018 04:55 Elsevier 0021-8693 Closed Publisher DOI. An embargo period may apply. https://doi.org/10.1016/j.jalgebra.2015.11.041 : FunderSNSF: Grant IDPDFMP2_141752: Project TitleLink Homologies and Categorification of Quantum Groups: FunderH2020: Grant ID739940: Project TitleIonPEFC - Advanced catalyst electrodes from Ionic liquid modified PtNi nanowire arrays for PEFCs

## Download

Preview
Content: Accepted Version
Language: English
Filetype: PDF
Size: 393kB
View at publisher