Nicolás Andruskiewitsch, Iván Angiono, Matías Moya Giusti, “Rank <nobr>$4$</nobr> Nichols Algebras of Pale Braidings”, SIGMA, 2023, Volume 19,021, 41 pp.

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Rank $4$ Nichols Algebras of Pale Braidings

Nicolás Andruskiewitsch^a, Iván Angiono^a, Matías Moya Giusti^b

^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

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.

MSC: 16T05

Received: November 25, 2022; in final form March 21, 2023; Published online April 13, 2023

Language: English

DOI: 10.3842/SIGMA.2023.021