Universiteit Gent
Department Mathematics: Algebra and Geometry
Krijgslaan 281 - S25
9000 Ghent
Belgium

email: arne.vanantwerpen@ugent.be

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Publications

Preprints

• A common divisor graph for skew braces (w. S. Properzi), Arxiv:2306.12415.
• Structure algebras of finite set-theoretic solutions of the Yang–Baxter equation (w. I. Colazzo, E. Jespers, L. Kubat), Arxiv:2305.06023.

Accepted for publication

• Finite idempotent set-theoretic solutions of the Yang-Baxter equation (w. I. Colazzo, E. Jespers, L. Kubat, C. Verwimp), doi: 10.1093/imrn/rnad183.

Published

• Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation (w. E. Jespers, L. Vendramin), Communications in Contemporary Mathematics 25 (9) (2023): 2250064.
• On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation (w. F. Cedó, E. Jespers, L. Kubat, C. Verwimp), Journal of Pure and Applied Algebra 227 (2) (2023): 107194.
• Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses (w. I. Colazzo, E. Jespers, C. Verwimp), Journal of Algebra 610 (2022): 409-462.
• Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation (w. E. Jespers, L. Kubat, L. Vendramin), Advances in Mathematics 385 (2021): 107767.
• Corrigendum et addendum to The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation (w. E. Jespers, L. Kubat), Transactions of the American Mathematical Society 373 (6) (2020): 4517-4521.
• The algebraic structure of left semi-trusses (w. I. Colazzo), Journal of Pure and Applied Algebra 225 (2) (2019): 106467.
• Factorizations of skew braces (w. E. Jespers, L. Kubat and L. Vendramin, Mathematische Annalen 375 (3-4) (2019): 1649-1663.
• The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation (w. E. Jespers, L. Kubat), Transactions of the American Mathematical Society 372 (10) (2019): 7191-7223.
• Left semi-braces and solutions of the Yang–Baxter equation (with E. Jespers), Forum Mathematicum 31 (1) (2018): 241-263.
• Coleman Automorphisms of finite groups and their minimal normal subgroups, Journal of Pure and Applied Algebra 222 (11) (2018): 3379-3394.

Upcoming talks

• Various notions of Nilpotency in skew braces, VII International Workshop on Non-associative Algebras in Lecce, 26/02 - 01/03/2024, Lecce, Italy.
• Structure algebras of left non-degenerate set-theoretic solutions, [Yang-Baxter Algebras], 03-07 june 2024, Heriot Watt University, Edinburgh, UK.

Collaborators

Leandro Vendramin, Eric Jespers, Łukasz Kubat, Ilaria Colazzo, Charlotte Verwimp, Ferran Cedó.