Published papers
- Harmonicity of normal almost contact metric structures, with M.
Benyounes, E. Loubeau and E. Vargara-Diaz,
Differential Geometry and its Applications, 103 (2026), 36
pages (pdf).
- Higher symmetries of power of the Laplacian and rings of differential
operators, with J.T. Stafford, Compositio
Mathematica,
153 (2017), 678--716 (pdf).
- Radial components, prehomogeneous vector spaces,
and rational Cherednik algebras,
Int. Math. Res. Not. IMRN, 2009
no.
3 (2009), 462--511 (pdf).
- Differential Operators and Cohomology Groups on the Basic Affine
Space, with J.T. Stafford, Studies in Lie Theory,
Dedicated to A. Joseph, Progress
in Math., 243, Birkhauser, 2006, 377--403 (ps.gz,
pdf).
- Krull dimension of the enveloping algebra of a semisimple
algebra, Proc. Amer. Math. Soc., 130 (2002),
3519--3523 (ps.gz, pdf).
- Invariant distributions supported on the nilpotent cone of a
semisimple Lie algebra, Trans. Amer. Math. Soc., 353
(2001), 4189--4202 (dvi,
pdf).
- Invariant differential operators on the tangent space of some
symmetric spaces, with J.T. Stafford, Annales
de l'Institut Fourier, 49 (1999), 1711--1741 (dvi,
ps.gz, pdf).
See below for an extended version.
- Differential operators on some nilpotent orbits, with J.T. Stafford, Representation Theory , Volume
3 (1999), 457--473 (dvi, ps.gz,
pdf).
- Adjoint vector fields on the tangent space of semisimple symmetric
spaces, with R. Ushirobira, Journal of Lie Theory, 9 (1999),
293--304 (dvi, ps.gz,
pdf).
- Equivariant D-modules attached to nilpotent orbits in a semisimple Lie
algebra, Transformation Groups, 3 (1998), 337--353 (dvi,
ps.gz, pdf).
- Differential operators commuting with invariant functions, with J.T.
Stafford, Comment. Math. Helv., 72 (1997), 426--433 (dvi,
ps.gz, pdf).
- Semi-simplicity of invariant holonomic systems on a reductive Lie
algebra, with J.T. Stafford, Amer. J. Math., 119 (1997),
1095--1117 (dvi, ps.gz,
pdf), and Corrigendum (dvi,
ps.gz, pdf).
- The kernel of an homomorphism of Harish-Chandra, with J.T. Stafford, Ann.
Sci. Éc. Normale Sup., 29 (1996), 385--397 (dvi,
ps.gz, pdf).
- Invariant Differential Operators and an Homomorphism of
Harish-Chandra, with J.T. Stafford, J. Amer. Math. Soc., 8
(1995), 365--372 (dvi, ps.gz,
pdf).
- Algebraic structure of multi-parameter quantum groups, with T.J.
Hodges and M. Toro, Advances in Math., 126 (1997), 52--92 (dvi,
ps.gz, pdf).
- Primitive ideals of Cq[SL(n)], with T.J. Hodges, J. Algebra,
168 (1994), 455--468 (dvi, ps.gz,
pdf).
- Primitive ideals of Cq[SL(3)], with T.J. Hodges, Comm. Math. Phys.,
156 (1993), 581--605 (dvi, ps.gz,
pdf).
- The quantum coordinate ring of the special linear group, with J.T.
Stafford, J. Pure and Applied Algebra, 86 (1993), 181--186 (dvi,
ps.gz, pdf).
- Modules over the Sklyanin Algebra, with S.P. Smith, Bull. Soc.
Math. France, 121 (1993), 35--90 (dvi,
ps.gz, pdf).
- Some Properties of Non-commutative Regular Graded Rings, Glasgow
Math J., 34 (1992), 277-300 (pdf).
- Relèvements d'opérateurs différentiels sur les anneaux d'invariants.
(Liftings of differential operators over rings of invariants).
Operator algebras, unitary representations, enveloping algebras, and
invariant theory, Proc. Colloq. in Honour of J. Dixmier, Paris/Fr.
1989, Prog. Math. 92, 449-470 (1990). (pdf).
- Rings of differential operators on classical rings of invariants, with
J.T. Stafford, Mem. Amer. Math. Soc., 81, 1989 (pdf,
ps.gz).
- Operateurs differentiels sur les surfaces munies d'une bonne
C*-action.
Séminaire d'Algèbre Paul Dubreil et Marie-Paul Malliavin, Lecture
Notes in Mathematics vol. 1404 , 269--295 (1989) (pdf).
Notes and unpublished papers
- D-modules et distributions sphériques (le cas tangent), exposé
au Groupe de Recherche "Analyse Harmonique Invariante sur les Espaces
Symétriques Réductifs", novembre 2004 (pdf).
- Invariant differential operators on the
tangent space of some symmetric spaces, with J.T. Stafford, long
version, 1997 (pdf).
See above for the published
version.
- Notes on equivariant D-modules, October 1997 (dvi,
ps.gz, pdf).
- Differential operators on a reductive Lie algebra, Lectures given at
the University of Washington, Seattle, 1995 (dvi,
ps.gz, pdf).
- Orbite nilpotente minimale, with P. Tauvel, 1994 (dvi,
ps.gz, pdf).
- Primitive ideals of the quantum group Cq[G], with T.J. Hodges, 1993 (dvi, ps.gz, pdf).