Pointed Hopf superalgebras of dimension up to 10
Taiki Shibata (Okayama University of Science), Kenichi Shimizu, (Shibaura Institute of Technology), Ryota Wakao (Okayama University of, Science)
TL;DR
This paper classifies non-semisimple pointed Hopf superalgebras of dimension up to 10 over an algebraically closed field of characteristic zero, using a novel inverse Radford-Majid bosonization technique.
Contribution
It introduces a new classification method for small-dimensional Hopf superalgebras based on an inverse bosonization approach.
Findings
Complete classification of non-semisimple pointed Hopf superalgebras up to dimension 10.
Development of a new construction technique for Hopf superalgebras.
Identification of all such superalgebras over algebraically closed fields of characteristic zero.
Abstract
By utilizing the technique introduced in our previous work to construct Hopf superalgebras by an inverse procedure of the Radford-Majid bosonization, we classify non-semisimple pointed Hopf superalgebras of dimension up to 10 over an algebraically closed field of characteristic zero.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras