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Multiparameter quantum groups, bosonizations and cocycle deformations
(Unión Matemática Argentina, 2017-12)
The multiparameter quantized enveloping algebras Uq(gA) constructed by Pei, Hu and Rosso [Quantum affine algebras, extended affine Lie algebras, and their applications, 145–171, Amer. Math. Soc., Providence, 2010] are ...
Atratores direcionais de cociclos topológicos : caracterização via compactificação de Stone Check e ? pré-ordem de Green
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2021)
Reduction of cocycles and groups of diffeomorphisms of the circle
(BELGIAN MATHEMATICAL SOC TRIOMPHE, 2006-06)
We prove two theorems of reduction of cocycles taking values in the group of diffeomorphisms of the circle. They generalize previous results obtained by the author concerning rigidity for smooth actions on the circle of ...
On bounded cocycles of isometries over minimal dynamics
(AMERICAN INSTITUTE OF MATHEMATICAL SCIENCES, 2013)
Skew braces and the Yang-Baxter equation
(American Mathematical Society, 2017-09)
Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation. We generalize Rump's braces to the non-commutative setting and use this new structure to study not ...
On maximizing measures of homeomorphisms on compact manifolds
(POLISH ACAD SCIENCES INST MATHEMATICS, 2008)
We prove that given a compact n-dimensional connected Riemannian manifold X and a continuous function g : X -> R, there exists a dense subset of the space of homeomorphisms of X such that for all T in this subset, the ...