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Pointed Hopf algebras: a guided tour to the liftings (Q3296956)

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scientific article

Language	Label	Description	Also known as
English	Pointed Hopf algebras: a guided tour to the liftings	scientific article

Statements

scholarly article

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Pointed Hopf algebras: a guided tour to the liftings (English)

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Agustín García Iglesias

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Iván Ezequiel Angiono

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Revista Colombiana de Matemáticas

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publication date

2 July 2020

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full work available at URL

https://arxiv.org/abs/1807.07154

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zbMATH Keywords

Hopf algebras

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Nichols algebras

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liftings

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cleft objects

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MaRDI profile type

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A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)

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On finite GK-dimensional Nichols algebras of diagonal type

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Liftings of Nichols Algebras of Diagonal Type I. Cartan Type A

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Lifting via cocycle deformation.

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On the structure of (co-Frobenius) Hopf algebras.

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Twisting Hopf algebras from cocycle deformations

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Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)

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On the classification of finite-dimensional pointed Hopf algebras.

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Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters

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On a family of Hopf algebras of dimension 72.

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On Nichols algebras of diagonal type

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A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.

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Distinguished pre-Nichols algebras

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Liftings of Nichols algebras of diagonal type II: All liftings are cocycle deformations

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Lifting of Nichols algebras of type \(B_2\). (With an appendix ``A generalization of the \(q\)-binomial theorem'' with I. Rutherford).

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On finite-dimensional copointed Hopf algebras over dihedral groups

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Deformation by cocycles of pointed Hopf algebras over non-abelian groups.

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Liftings of Nichols algebras of diagonal type III. Cartan type \(G_{2}\)

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Representations of the category of modules over pointed Hopf algebras over \(\mathbb S_3\) and \(\mathbb S_4\).

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Finite-dimensional pointed or copointed Hopf algebras over affine racks.

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Copointed Hopf algebras over \(\mathbb{S}_4\)

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Cohomology of Abelian matched pairs and the Kac sequence.

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Crossed products for pointed hopf algebras

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Classification of arithmetic root systems

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On the Lifting of Nichols Algebras

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Abelian and non-Abelian second cohomologies of quantized enveloping algebras

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Hopf bigalois extensions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.15446/RECOLMA.V53NSUPL.83958

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Sitelinks

Mathematics(1 entry)

mardi Publication:3296956

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