Institut de Recherche Mathématique Avancée
CNRS et Université de Strasbourg
7 rue René Descartes
67084 Strasbourg, France
Publications récentes/Recent publications
- (with P. Guillot)
Twisting algebras using non-commutative torsors,
arXiv:0911.5287, submitted.
- (with A. Masuoka)
Flatness and freeness properties of the generic Hopf Galois extensions,
arXiv:0911.3719,
Proc. Coloquio de Algebras de Hopf, Grupos Cuánticos y Categorías Tensoriales,
Rev. Un. Mat. Argentina.
- (with P. Guillot)
Cohomology of invariant Drinfeld twists on group algebras,
Int. Math. Res. Not. IMRN 2009, Article ID rnp209;
doi:10.1093/imrn/rnp209 (46 pages).
-
Generic Hopf Galois extensions,
Proceedings of the Workshop on Quantum Groups and Noncommutative Geometry,
M. Marcolli and D. Parashar (eds.),
Max Planck Institut für Mathematik, Bonn 2007,
Vieweg Verlag (Max-Planck Series), to appear in 2010;
arXiv:0809.0638.
- (with J. Bichon)
The lazy homology of a Hopf algebra,
arXiv:0807.1651, Journal of Algebra (2010), doi:10.1016/j.jalgebra.2009.12.032 (35 pages).
- (with C. Reutenauer)
A palindromization map for the free group,
Theoret. Comput. Sci. 409 (2008), 461-470;
doi:10.1016/j.tcs.2008.09.011.
- (with V. Turaev)
Braid groups,
Graduate Texts in Mathematics, vol. 247, Springer, New York, 2008 (340 p. + xii).
ISBN 978-0-387-33841-5.
- (with E. Aljadeff)
Polynomial identities and noncommutative versal torsors,
Advances in Mathematics 218 (2008), 1453-1495.
-
Homotopy formulas for cyclic groups acting on rings,
Canad. Math. Bull. 51 (2008), No.1, 81-85.
- (with C. Reutenauer)
Sturmian morphisms, the braid group B_4, Christoffel words and bases of F_2
,
Ann. Mat. Pura Appl. 186 (2007), 317-339.
-
Homology and cohomology of associative algebras -
A concise introduction to cyclic homology,
Notes of a course given in the Advanced School on Non-commutative Geometry
at ICTP, Trieste in August 2004, 37 pages.
- (with E. Aljadeff)
Norm formulas for finite groups and induction from elementary abelian subgroups,
Journal of Algebra 303 (2006), 677-706.
- (with H.-J. Schneider)
Homotopy theory of Hopf Galois extensions,
Annales Inst. Fourier 55 (2005), 2521-2550.
-
Quantum principal bundles up to homotopy equivalence,
The Legacy of Niels Henrik Abel, The Abel Bicentennial, Oslo, 2002,
O. A. Laudal, R. Piene (eds.), Springer-Verlag 2004, 737-748.
- (with A. Lascoux and C. Reutenauer)
The singular locus of Schubert variety,
Journal of Algebra 269 (2003), 74-108.
(18 février 2010)