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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 021, 41 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.021 (Mi sigma1916) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rank $4$ Nichols Algebras of Pale Braidings

Nicolás Andruskiewitscha, Iván Angionoa, Matías Moya Giustib

a Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, CIEM – CONICET, Medina Allende s/n (5000) Ciudad Universitaria, Córdoba, Argentina
b 6 rue Rampal, 75019, Paris, France
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DOI: https://doi.org/10.3842/SIGMA.2023.021
Abstract: We classify finite GK-dimensional Nichols algebras $\mathscr{B}(V)$ of rank $4$ such that $V$ arises as a Yetter–Drinfeld module over an abelian group but it is not a direct sum of points and blocks.
Keywords: Hopf algebras, Nichols algebras, Gelfand–Kirillov dimension.
Funding agency Grant number
National Science Foundation DMS-1440140
Consejo Nacional de Investigaciones Cientificas y Tecnicas PIP 11220200102916CO
FONCyT-ANPCyT PICT-2019-03660
Secretaria de Ciencia y Tecnología – Universidad Nacional de Córdoba
This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while N.A. was in residence at the Mathematical Science Berkeley, California, in the Spring 2020 semester. The work of N.A. and I.A. was partially supported by CONICET (PIP 11220200102916CO), FONCyT-ANPCyT (PICT-2019-03660) and Secyt (UNC).
Received: November 25, 2022; in final form March 21, 2023; Published online April 13, 2023
Bibliographic databases:
Document Type: Article
MSC: 16T05
Language: English
Citation: Nicolás Andruskiewitsch, Iván Angiono, Matías Moya Giusti, “Rank $4$ Nichols Algebras of Pale Braidings”, SIGMA, 19 (2023), 021, 41 pp.
Citation in format AMSBIB
\Bibitem{AndAngMoy23}
\by Nicol\'as~Andruskiewitsch, Iv\'an~Angiono, Mat{\'\i}as~Moya Giusti
\paper Rank $4$ Nichols Algebras of Pale Braidings
\jour SIGMA
\yr 2023
\vol 19
\papernumber 021
\totalpages 41
\mathnet{http://mi.mathnet.ru/sigma1916}
\crossref{https://doi.org/10.3842/SIGMA.2023.021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4574403}
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    		Symmetry, Integrability and Geometry: Methods and Applications
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