Publications

Preprints

• M. Mereb, L. Vendramin. Rubik’s as a Galois’.
• N. Andruskiewitsch, I. Heckenberger, L. Vendramin. Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups.
• K. Piterman. Spherical p-group complexes arising from finite groups of Lie type.
• D. Ferri. On dynamical skew braces and skew bracoids.
• M. Gran, T. Letourmy, L. Vendramin. Hopf formulae for homology of skew braces.
• C. Dietzel, E. Feingesicht, S. Properzi. Indecomposability and irreducibility of monomial representations for set-theoretical solutions to the Yang-Baxter equation.
• D. Ferri, A. Sciandra. Matched pairs and Yetter-Drinfeld braces.
• S. Trappeniers. A Lazard-type correspondence and applications to post-Lie rings and skew braces.
• I. Colazzo, E. Jespers, Ł. Kubat, A. Van Antwerpen. Simple solutions of the Yang-Baxter equation.
• G. Janssens, L. Margolis. On integral decomposition of unipotent elements in integral group rings.
• S. Properzi, A. Van Antwerpen. A common divisor graph for skew braces.
• I. Colazzo, E. Jespers, Ł. Kubat, A. Van Antwerpen. Structure algebras of finite set-theoretic solutions of the Yang-Baxter equation.
• K. Piterman, L. Vendramin. Algebra with GAP.
• C. Dietzel. Decomposition and structure theorems for Garside-like groups with modular lattice structure.
• M. Castelli, S. Trappeniers. Studying solutions of the Yang-Baxter equation through skew braces, with an application to indecomposable involutive solutions with abelian permutation group.

Accepted for publication

• C. Dietzel, S. Properzi, S. Trappeniers. Indecomposable set-theoretical solutions to the Yang-Baxter equation of size $p^2$. Comm. Algebra.
• N. Mayorga Uruburu, A. Pacetti, L. Vendramin. On computing finite index subgroups of PSL(2,Z). J. Algebra Appl.

Published

2024

• G. Janssens, E. Jespers, O. Schnabel. Units of twisted group rings and their correlations to classical group rings. Adv. Math. 458 (2024), part B, Paper No. 109983.
• L. Vendramin. Skew braces: a brief survey. Geometric methods in physics XL, workshop, Białowieża, Poland, June 20-25, 2023. Cham: Birkhäuser. 153-175.
• W. Rump, L. Vendramin. The prime spectrum of an L-algebra. Proc. Amer. Math. Soc. 152 (2024), 3197-3207.
• I. Heckenberger, E. Meir, L. Vendramin. Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension. Adv. Math. 444 (2024), Paper No. 109637.
• I. Colazzo, E. Jespers, Ł. Kubat, A. Van Antwerpen, C. Verwimp. Finite idempotent set-theoretic solutions of the Yang-Baxter equation. Int. Math. Res. Not. IMRN(2024), no. 7, 5458–5489.
• V. Lebed, S. Ramírez, L. Vendramin. Involutive Yang-Baxter: cabling, decomposability, Dehornoy class. Rev. Mat. Iberoam. 40 (2024), no. 2, pp. 623–635.
• L. Vendramin. What is… a skew brace? Notices Amer. Math. Soc. 71 (2024), no. 1, 65-67.
• T. Letourmy, L. Vendramin. Schur covers of skew braces (with T. Letourmy) J. Algebra 644 (2024), 609-654.

2023

• I. Heckenberger, L. Vendramin. Bosonization of curved Lie bialgebras. Bull. Belg. Math. Soc. Simon Stevin 30 (2023), no. 5, 577–600.
• T. Letourmy, L. Vendramin. Isoclinism of skew braces. Bull. Lond. Math. Soc. 55 (2023), no. 6, 2891–2906.
• L. Stefanello, S. Trappeniers. On the connection between Hopf-Galois structures and skew braces. Bull. Lond. Math. Soc. 55 (2023), no. 4, 1726–1748.
• T. Brzezinski, I. Colazzo, A. Doikou, L. Vendramin. Mini-workshop: Skew braces and the Yang-Baxter equation. Oberwolfach Rep. 20 (2023), no. 1, 537-563.
• E. Jespers, A. Van Antwerpen, L. Vendramin. Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation. Commun. Contemp. Math. 25 (2023), no. 09, Paper No. 2250064.
• S. Trappeniers. On two-sided skew braces. J. Algebra 631 (2023), 267-286.
• C. Dietzel, P. Menchón, L. Vendramin. On the enumeration of finite L-algebras. Math. Comp. 92 (2023), no. 341, 1363–1381. code.
• A. Bächle, G. Janssens, E. Jespers, A. Kiefer, D. Temmerman. Abelianization and fixed point properties of units in integral group rings. Math. Nachr. 296 (2023), no. 1, 8–56.
• L. Stefanello, S. Trappeniers. On bi-skew braces and brace blocks. J. Pure Appl. Algebra 227 (2023), no. 5, Paper No. 107295.
• F. Cedó, E. Jespers, Ł. Kubat, A. Van Antwerpen, C. Verwimp. On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation. J. Pure Appl. Algebra 227 (2023), no. 2, Paper No. 107194, 38 pp.

2022

• G. Janssens. Codimension Growth of Lie algebras with a generalized action. Proc. Amer. Math. Soc. 150 (2022), no. 7, 2741–2754.
• F. Cedó, E. Jespers, J. Okniński. Primitive set-theoretic solutions of the Yang-Baxter equation. Commun. Contemp. Math. 24 (2022), no. 9, Paper No. 2150105, 10 pp.
• A. Bächle, G. Janssens, E. Jespers, A. Kiefer, D. Temmerman. A dichotomy for integral group rings via higher modular groups as amalgamated products. J. Algebra 604 (2022), 185–223.
• I. Colazzo, E. Jespers, A. Van Antwerpen, C. Verwimp. Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses, J. Algebra 610 (2022), 409-462.
• V. Lebed, L. Vendramin. Reflection equation as a tool for studying solutions to the Yang-Baxter equation. J. Algebra 607 (2022), 360–380.
• Ö. Akgün, M. Mereb, L. Vendramin. Enumeration of set-theoretic solutions to the Yang-Baxter equation. Math. Comp. 91 (2022), no. 335, 1469–1481, code.
• S. Ramírez, L. Vendramin. Decomposition theorems for involutive solutions to the Yang-Baxter equation. Int. Math. Res. Not. IMRN 2022, no. 22, 18078–18091.
• L. Vendramin. Nudos, quandles y homología (Spanish). Gac. R. Soc. Mat. Esp. 25 (2022), no. 1, 85-110.
• L. Vendramin. Quantum invariants via Hopf algebras and solutions to the Yang-Baxter equation. Adams, Colin (ed.), Flapan, Erica (ed.); Henrich, Allison (ed.); Kauffman, Louis H. (ed.); Ludwig, Lewis D. (ed.); Nelson, Sam (ed.) Encyclopedia of knot theory. Boca Raton, FL: CRC Press. 795-800 (2021).

2021

• E. Jespers. Structure of group rings and the group of units of integral group rings: an invitation. Indian J. Pure Appl. Math. 52 (2021), no. 3, 687–708.
• A. Bächle, M. Caicedo, E. Jespers, S. Maheshwary. Global and local properties of finite groups with only finitely many central units in their integral group ring. J. Group Theory 24 (2021), no. 6, 1163–1188.
• F. Cedó, E. Jespers, C. Verwimp. Structure monoids of set-theoretic solutions of the Yang-Baxter equation. Publ. Mat. 65 (2021), no. 2, 499–528, corrigendum and addendum.
• E. Jespers, W-L. Sun. Nilpotent decomposition in integral group rings. J. Algebra 575 (2021), 127–158.
• F. Cedó, E. Jespers, J. Okniński. Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition. Rev. Mat. Complut. 34 (2021), no. 1, 99–129.
• F. Cedó, E. Jespers, J. Okniński. Every finite abelian group is a subgroup of the additive group of a finite simple left brace. J. Pure Appl. Algebra 225 (2021), no. 1, Paper No. 106476, 10 pp.
• E. Jespers, Ł. Kubat, A. Van Antwerpen, L. Vendramin. Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation. Adv. Math. 385 (2021), 107767.
• O. Konovalov, A. Smoktunowicz, L. Vendramin. On skew braces and their ideals. Exp. Math. 30 (2021), no. 1, 95–104, errata.