Zobrazeno 1 - 10
of 209
pro vyhledávání: '"Vendramin, L."'
Publikováno v:
Adv. Math. 444 (2024), Paper No. 109637
Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols algebra. To achieve our goal, we introduce orders of braided vector space
Externí odkaz:
http://arxiv.org/abs/2306.02989
Autor:
Letourmy, T., Vendramin, L.
Publikováno v:
J. Algebra 644 (2024), 609-654
We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic. Finally, we prove that Schur covers have the liftin
Externí odkaz:
http://arxiv.org/abs/2302.03970
Publikováno v:
Rev. Mat. Iberoam. 40 (2024), no. 2, pp. 623-635
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Baxter equation. It is based on the seminal decomposability theorem of Rump, and on "cabling" operations on solutions and their effect on the diagonal m
Externí odkaz:
http://arxiv.org/abs/2209.02041
Autor:
Heckenberger, I., Vendramin, L.
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 30 (2023), 577-600
We use Cartier's preadditive symmetric monoidal categories to study Lie bialgebras. We prove that bosonization can be done consistently in this framework. In the last part of the paper we present explicit examples and indicate a deep relationship bet
Externí odkaz:
http://arxiv.org/abs/2209.02115
Publikováno v:
Math. Comp. 92 (2023), no. 341, 1363-1381
We use Constraint Satisfaction Methods to construct and enumerate finite $L$-algebras up to isomorphism. These objects were recently introduced by Rump and appear in Garside theory, algebraic logic, and the study of the combinatorial Yang-Baxter equa
Externí odkaz:
http://arxiv.org/abs/2206.04955
Autor:
Rump, W., Vendramin, L.
Publikováno v:
Proc. Amer. Math. Soc. 152 (2024), 3197-3207
We prove that the lattice of ideals of an arbitrary $L$-algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. the set of prime ideals) of $L$-algebras and characterize prime ideals
Externí odkaz:
http://arxiv.org/abs/2206.01001
Publikováno v:
Commun. Contemp. Math. 25 (2023), no. 09, Paper No. 2250064
We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation. In particular, we consider annihilator nilpotent skew braces, an important class that
Externí odkaz:
http://arxiv.org/abs/2205.01572
Publikováno v:
In Advances in Mathematics May 2024 444
Autor:
Letourmy, T., Vendramin, L.
Publikováno v:
In Journal of Algebra 15 April 2024 644:609-654
Autor:
Ramírez, S., Vendramin, L.
Publikováno v:
Int. Math. Res. Not. IMRN 2022, no. 22, 18078-18091
Motivated by the proof of Rump of a conjecture of Gateva-Ivanova on the decomposability of square-free solutions to the Yang-Baxter equation, we present several other decomposability theorems based on the cycle structure of a certain permutation asso
Externí odkaz:
http://arxiv.org/abs/2101.04239