68 citations · 415 across the 85 of their papers we have counts for
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math.QA2003★ 32 cited
Double categories and quantum groupoids
Nicolas Andruskiewitsch, Sonia Natale
We give the construction of a class of weak Hopf algebras (or quantum groupoids) associated to a matched pair of groupoids and certain cocycle data. This generalizes a now well-kno…
math.QA2003★ 16 cited
Some remarks on Nichols algebras
Nicolás Andruskiewitsch
Two algebras can be attached to a braided vector space in an intrinsic way; the FRT-bialgebra and the Nichols algebra $\toba(V, c)$. The FRT-bialgebra plays the rôle of th…
math.QA2003
On the automorphisms of
Nicolás Andruskiewitsch, François Dumas
Let g be a simple complex finite dimensional Lie algebra and let U_q^+(g) be the positive part of the quantum enveloping algebra of g. If g is of type A_2, the group of algebra aut…