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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.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Language:English
Date:4 February 2016
Deposited On:12 Jan 2017 07:31
Last Modified:15 Jan 2025 02:42
Publisher:Elsevier
ISSN:0021-8693
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/j.jalgebra.2015.11.041
Project Information:
  • Funder: SNSF
  • Grant ID: PDFMP2_141752
  • Project Title: Link Homologies and Categorification of Quantum Groups
  • Funder: H2020
  • Grant ID: 739940
  • Project Title: IonPEFC - Advanced catalyst electrodes from Ionic liquid modified PtNi nanowire arrays for PEFCs
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  • Content: Accepted Version
  • Language: English

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