Recent Publications
On the classification of finite-dimensional pointed Hopf algebras
(with N. Andruskiewitsch), to appear in Ann.of Math,
43 pages (pdf).
Finite quantum groups and the classification of
pointed Hopf algebras (with N. Andruskiewitsch), preprint 2005,
34 pages (pdf).
A characterization of quantum groups (with
N. Andruskiewitsch) , J. reine angew. Math. 557 (2004),
81-104 (dvi , ps).
On generalized Hopf Galois extensions (with P. Schauenburg),
preprint 2004, 24 pages, to appear in JPAA (pdf).
Galois type extensions and Hopf algebras (with P. Schauenburg),
preprint 2004, 89 pages.
Homotopy theory of Hopf Galois extensions (with C. Kassel),
preprint 2004, 27 pages, to appear in Annales Inst. Fourier (pdf).
Krull relations in Hopf Galois extensions: lifting and twisting
(with S. Montgomery), preprint 2004, 20 pages, to appear in J. Algebra
(pdf).
On actions of infinitesimal group schemes
(with G. Restuccia) , J. of Algebra 261 (2003), 229-244 (dvi
, ps).
On the even powers of the antipode of a finite-dimensional Hopf algebra
(with D. Radford), J. Algebra 251
(2002),
185-212 (dvi , ps).
Skew derivations of finite-dimensional algebras and actions of the double
of the Taft Hopf algebra (with S. Montgomery), Tsukuba J. Math. 25
(2001),
337-358 (dvi, ps).
Pointed Hopf algebras (with N. Andruskiewitsch), in "New directions
in Hopf algebras", MSRI Publications 43, Cambridge Univ. Press ,
2002, 1--68 (dvi ,
ps).
Finite Quantum Groups over Abelian Groups of Prime Exponent (with
N. Andruskiewitsch), Ann. Sci. Ec. Norm. Super. 35 (2002), 1--26
(dvi , ps).
Some properties of factorizable Hopf algebras, Proc. Amer.
Math. Soc . 129 (2001) ,1891-1898 (dvi
, ps).
Pointed indecomposable Hopf algebras over Coxeter groups (with A.
Milinski), Contemporary Mathematics 267 (2000) , 215-236 (dvi
, ps).
On the coradical filtration of Hopf algebras whose coradical is a Hopf
subalgebra (with N. Andruskiewitsch), Boletin de la Academia Nacional
de Ciencias, Córdoba 65 (2000), 45-50.
Finite quantum groups and Cartan matrices (with N. Andruskiewitsch),
Advances in Mathematics 154 (2000), 1-45 (dvi
, ps).
Lifting of Nichols Algebras of Type A2 and Pointed Hopf Algebras of
order p4 (with N. Andruskiewitsch), in: "Hopf algebras and quantum
groups", Caenepeel, Marcel Dekker, (2000), 1-15.
Quantum homogeneous spaces with faithfully flat module structures
(with E. Müller), Israel J. Math. 111 (1999), 157-190 (dvi
, ps).
Prime ideals in Hopf Galois extensions (with S. Montgomery), Israel
J. Math. 112 (1999), 187-235.
Lifting of quantum linear spaces and pointed Hopf algebras of order
p3 (with N. Andruskiewitsch). J. Algebra 209 (1998), 658-691.
Hopf algebras of order p2 and braided Hopf algebras of order p (with
N. Andruskiewitsch). J. Algebra 199 (1998), 430-454.
Frobenius extensions of subalgebras of Hopf algebras (with D. Fischman,
S. Montgomery), Trans. Amer. Math. Soc. 349 (1997), 4857-4895.
Simplicity of some pointed Hopf algebras (with N. Andruskiewitsch),Appendix
to N. Andruskiewitsch, Notes on extensions of Hopf algebras, Canad.
J. Math. 48 (1996), 3-42.
Hopf crossed products, rings of quotients, and prime ideals (with
S. Montgomery), Advances in mathematics 112 (1995), 1-55.
Lectures on Hopf algebras, 1995, University of Argentina,
Córdoba, 52 pages (dvi)
Hopf Galois extensions, crossed products and Clifford theory, in:
Advances in Hopf algebras, eds. J. Bergen and S. Montgomery, Marcel Dekker,
1994, 267-297.
On inner actions of Hopf algebras and stabilizers of representations,
J. Algebra 165 (1994), 138-163.
Some remarks on exact sequences of quantum groups, Comm. Alg. 21
(1993), 3337-3357.
Normal basis and transitivity of crossed products for Hopf algebras,
J. Algebra 1152 (1992), 289-312.
Representation theory of Hopf Galois extensions, Israel J. Math.
72
(1990), 196-231.
Principal homogeneous spaces for arbitrary Hopf algebras, Israel
J. Math. 72 (1990), 167-195.
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