Zobrazeno 1 - 10
of 158
pro vyhledávání: '"ANGIONO, IVÁN"'
Autor:
Angiono, Iván, Campagnolo, Emiliano
We classify graded pre-Nichols algebras of diagonal type with finite Gelfand-Kirillov dimension. The characterization is made through an isomorphism of posets with the family of appropriate subsets of the set of positive roots coming from central ext
Externí odkaz:
http://arxiv.org/abs/2403.18465
We define contragredient Lie algebras in symmetric categories, generalizing the construction of Lie algebras of the form $\mathfrak{g}(A)$ for a Cartan matrix $A$ from the category of vector spaces to an arbitrary symmetric tensor category. The main
Externí odkaz:
http://arxiv.org/abs/2401.02915
Publikováno v:
Orbita Math. 1 (2024) 211-242
We describe the structure and different features of Lie algebras in the Verlinde category, obtained as semisimplification of contragredient Lie algebras in characteristic $p$ with respect to the adjoint action of a Chevalley generator. In particular,
Externí odkaz:
http://arxiv.org/abs/2309.12451
Let $(V,c)$ be a finite-dimensional braided vector space of diagonal type. We show that the Gelfand Kirillov dimension of the Nichols algebra $\mathfrak{B}(V)$ is finite if and only if the corresponding root system is finite, that is $\mathfrak{B}(V)
Externí odkaz:
http://arxiv.org/abs/2212.08169
We construct finite-dimensional Hopf algebras whose coradical is the group algebra of a central extension of an abelian group. They fall into families associated to a semisimple Lie algebra together with a Dynkin diagram automorphism. We show convers
Externí odkaz:
http://arxiv.org/abs/2206.10726
We complete the classification of the pointed Hopf algebras with finite Gelfand-Kirillov dimension that are liftings of the Jordan plane over a nilpotent-by-finite group, correcting the statement in arXiv:1512.09271.
Comment: 9 pages. v2: small
Comment: 9 pages. v2: small
Externí odkaz:
http://arxiv.org/abs/2203.03350
We show that every finite GK-dimensional pre-Nichols algebra for braidings of diagonal type with connected diagram of modular, supermodular or unidentified type is a quotient of the distinguished pre-Nichols algebra introduced by the first-named auth
Externí odkaz:
http://arxiv.org/abs/2110.11217
Publikováno v:
SIGMA 19 (2023), 021, 41 pages
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.
Externí odkaz:
http://arxiv.org/abs/2108.02608
This paper contributes to the proof of the conjecture posed in arXiv:1606.02521, stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove the conjecture assuming that the ra
Externí odkaz:
http://arxiv.org/abs/2106.10143
Publikováno v:
In Journal of Pure and Applied Algebra February 2024 228(2)
