Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Iglesias, Agustín García"'
For each $\ell\geq 1$ and $\lambda,\mu\in\Bbbk$, we study the representations of a family of pointed Hopf algebras $\mathcal{A}_{\lambda,\mu}$. These arise as Hopf cocycle deformations of the graded algebra $\mathcal{FK}_3\#\Bbbk \mathbb{G}_{3,\ell}$
Externí odkaz:
http://arxiv.org/abs/2403.08945
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 present an explicit description of the Hopf 2-cocycles involved in the classification of finite dimensional pointed and copointed Hopf algebras over the symmetric group on three letters. We determine which cocycles are exponentials of Hochschild 2
Externí odkaz:
http://arxiv.org/abs/2203.16342
We present a framework for the computation of the Hopf 2-cocycles involved in the deformations of Nichols algebras over semisimple Hopf algebras. We write down a recurrence formula and investigate the extent of the connection with invariant Hochschil
Externí odkaz:
http://arxiv.org/abs/2108.11432
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
We compute all liftings of braidings of unidentified types ufo(7) and ufo(8). Some of these examples had been previously computed by Helbig. We also present a list of examples of liftings of modular type br(2,a).
Comment: Dedicated to Nicol\'as
Comment: Dedicated to Nicol\'as
Externí odkaz:
http://arxiv.org/abs/1912.11413
We provide necessary and sufficient conditions to extend the Hopf-Galois algebra structure on an algebra R to a generalized ambiskew ring based on R, in a way such that the added variables for the extension are skew-primitive in an appropriate sense.
Externí odkaz:
http://arxiv.org/abs/1910.14363
This article serves a two-fold purpose. On the one hand, it is a survey about the classification of finite-dimensional pointed Hopf algebras with abelian coradical, whose final step is the computation of the liftings or deformations of graded Hopf al
Externí odkaz:
http://arxiv.org/abs/1807.07154
We study the realizations of certain braided vector spaces of rack type as Yetter-Drinfeld modules over a cosemisimple Hopf algebra $H$. We apply the strategy developed in arXiv:1212.5279 to compute their liftings and use these results to obtain the
Externí odkaz:
http://arxiv.org/abs/1706.06624
We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter-Drinfeld realization of a braided vector space of Cartan type $G_2$ over a cosemisimple Hopf algebra. We develop a general formula for a class of lifti
Externí odkaz:
http://arxiv.org/abs/1607.07857