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math.QA2010
The quantum Cartan algebra associated to a bicovariant differential calculus
Lucio S. Cirio, Chiara Pagani, Alessandro Zampini
We associate to any (suitable) bicovariant differential calculus on a quantum group a Cartan Hopf algebra which has a left, respectively right, representation in terms of left, res…
math.QA2010
Algebraic deformations of toric varieties I. General constructions
Lucio Cirio, Giovanni Landi, Richard J. Szabo
We construct and study noncommutative deformations of toric varieties by combining techniques from toric geometry, isospectral deformations, and noncommutative geometry in braided…