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19932026
most citedFinite-dimensional pointed Hopf algebras with alternating groups are trivial

68 citations · 415 across the 85 of their papers we have counts for

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math.QA2016★ 1 cited

On unrolled Hopf algebras

Nicolás Andruskiewitsch, Christoph Schweigert

We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra of a Yetter-Drinfeld module on which a Lie algebra $\mathfr…

math.QA2016

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups

Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García

We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSL_n(q) and PSp_{2n}(q), collapse (i.e. are never the support of a finite-dimensi…

math.QA2016★ 2 cited

Simple Modules of the Quantum Double of the Nichols Algebra of Unidentified Diagonal Type

Nicolás Andruskiewitsch, Iván Angiono, Adriana Mejí a +1

The simple finite-dimensional modules over the Drinfeld double of the bosonization of the Nichols algebra are classified.

math.QA2016

On finite GK-dimensional Nichols algebras over abelian groups

Nicolás Andruskiewitsch, Iván Angiono, Istvan Heckenberger

We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, for short, through the study of Nichols algebras over abelian gr…

math.QA2016

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

Nicolás Andruskiewitsch, Iván Angiono, Fiorela Rossi Bertone

Let be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix , where is…