Antoine Touzé
University of Paris
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Featured researches published by Antoine Touzé.
Duke Mathematical Journal | 2010
Antoine Touzé; W.L.J. van der Kallen
Let G be a reductive linear algebraic group over a field k. Let A be a finitely generated commutative k-algebra on which G acts rationally by k-algebra automorphisms. Invariant theory states that the ring of invariants AG=H0(G,A) is finitely generated. We show that in fact the full cohomology ring H∗(G,A) is finitely generated. The proof is based on the strict polynomial bifunctor cohomology classes constructed in [22]. We also continue the study of bifunctor cohomology of Γ∗(gl(1))
Archive | 2015
Vincent Franjou; Antoine Touzé
Introduction.- A. Djament: Homologie stable des groupes a coefficients polynomiaux.- W. van der Kallen: Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras.- R. Mikhailov: Polynomial Functors and Homotopy Theory.- A. Touze: Prerequisites of Homological Algebra.
Advances in Mathematics | 2010
Antoine Touzé
Journal of Pure and Applied Algebra | 2013
Antoine Touzé
Annales Scientifiques De L Ecole Normale Superieure | 2012
Antoine Touzé
Duke Mathematical Journal | 2010
Antoine Touzé
Annales de l'Institut Fourier | 2014
Antoine Touzé
Transformation Groups | 2013
Antoine Touzé
Fundamenta Mathematicae | 2017
Antoine Touzé
Archive | 2008
Antoine Touzé