Lifting via cocycle deformation
N Andruskiewitsch, I Angiono, AG Iglesias… - Journal of Pure and …, 2014 - Elsevier
Lifting via cocycle deformation Page 1 Journal of Pure and Applied Algebra 218 (2014) 684–703
Contents lists available at ScienceDirect Journal of Pure and Applied Algebra journal …
Contents lists available at ScienceDirect Journal of Pure and Applied Algebra journal …
[HTML][HTML] Finite-dimensional pointed or copointed Hopf algebras over affine racks
AG Iglesias, C Vay - Journal of Algebra, 2014 - Elsevier
We study the pointed or copointed liftings of Nichols algebras associated to affine racks and
constant cocycles for any finite group admitting a principal YD-realization of these racks. In …
constant cocycles for any finite group admitting a principal YD-realization of these racks. In …
Finite dimensional Hopf algebras over the dual group algebra of the symmetric group in three letters
N Andruskiewitsch, C Vay - Communications in Algebra, 2011 - Taylor & Francis
Full article: Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the
Symmetric Group in Three Letters Skip to Main Content Taylor and Francis Online …
Symmetric Group in Three Letters Skip to Main Content Taylor and Francis Online …
[图书][B] Extending structures: fundamentals and applications
A Agore, G Militaru - 2019 - taylorfrancis.com
Extending Structures: Fundamentals and Applications treats the extending structures (ES)
problem in the context of groups, Lie/Leibniz algebras, associative algebras and …
problem in the context of groups, Lie/Leibniz algebras, associative algebras and …
[HTML][HTML] Hochschild cohomology and “smoothness” in monoidal categories
We introduce and investigate the properties of Hochschild cohomology of algebras in an
abelian monoidal category M. We show that the second Hochschild cohomology group of an …
abelian monoidal category M. We show that the second Hochschild cohomology group of an …
Separable functors and formal smoothness
A Ardizzoni - Journal of K-Theory, 2008 - cambridge.org
The natural problem we approach in the present paper is to show how the notion of formally
smooth (co) algebra inside monoidal categories can substitute that of (co) separable (co) …
smooth (co) algebra inside monoidal categories can substitute that of (co) separable (co) …
Braided bialgebras of Hecke-type
The paper is devoted to prove a version of Milnor–Moore Theorem for connected braided
bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2 …
bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2 …
[HTML][HTML] Bosonization for dual quasi-bialgebras and preantipode
A Ardizzoni, A Pavarin - Journal of Algebra, 2013 - Elsevier
To every dual quasi-bialgebra H and every bialgebra R in the category of Yetter–Drinfeld
modules over H, one can associate a dual quasi-bialgebra, called bosonization. In this …
modules over H, one can associate a dual quasi-bialgebra, called bosonization. In this …
[HTML][HTML] Milnor–Moore categories and monadic decomposition
A Ardizzoni, C Menini - Journal of Algebra, 2016 - Elsevier
In this paper monoidal Hom-Lie algebras, Lie color algebras, Lie superalgebras and other
type of generalized Lie algebras are recovered by means of an iterated construction, known …
type of generalized Lie algebras are recovered by means of an iterated construction, known …
On cross product Hopf algebras
Let A and B be algebras and coalgebras in a braided monoidal category C, and suppose
that we have a cross product algebra and a cross product coalgebra structure on A⊗ B. We …
that we have a cross product algebra and a cross product coalgebra structure on A⊗ B. We …