activity
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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Showing 2006Show all

6 papers · 1 filter

math.RT2006

Irreducible representations of liftings of quantum planes

N. Andruskiewitsch, M. Beattie

In this note, the irreducible representations of a lifting of a quantum plane are determined. Both authors thank Hans-Jürgen Schneider for pointing out a mistake in the published v…

math.QA2006★ 11 cited

On pointed Hopf algebras associated to unmixed conjugacy classes in S_n

Nicol'as Andruskiewitsch, Fernando Fantino

Let s in S_n be a product of disjoint cycles of the same length, C the conjugacy class of s and rho an irreducible representation of the isotropy group of s. We prove that either t…

math.QA2006

On module categories over finite-dimensional Hopf algebras

Nicolas Andruskiewitsch, Juan Martin Mombelli

We show that indecomposable exact module categories over the category Rep H of representations of a finite-dimensional Hopf algebra H are classified by left comodule algebras, H-si…

math.QA2006

Extensions of finite quantum groups by finite groups

Nicolás Andruskiewitsch, Gastón Andrés García

We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphis…

math.DG2006

A family of Poisson non-compact symmetric spaces

Nicolas Andruskiewitsch, Alejandro Tiraboschi

We study Poisson symmetric spaces of group type with Cartan subalgebra "adapted" to the Lie cobracket.

math.CT2006★ 1 cited

The structure of double groupoids

Nicolás Andruskiewitsch, Sonia Natale

We give a general description of the structure of a discrete double groupoid (with an extra, quite natural, filling condition) in terms of groupoid factorizations and groupoid 2-co…