Published papers
- 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 (pdf).
- Krull dimension of the enveloping algebra of a semisimple
algebra, Proc. Amer. Math. Soc., 130 (2002),
3519--3523 (pdf).
- Invariant distributions supported on the nilpotent cone of a
semisimple Lie algebra, Trans. Amer. Math. Soc.,
353
(2001), 4189--4202 (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 (pdf). See below for an extended version.
- Differential operators on some nilpotent orbits, with J.T.
Stafford, Representation
Theory , Volume 3
(1999), 457--473 (pdf).
- Adjoint vector fields on the tangent space of semisimple
symmetric spaces, with R. Ushirobira, Journal of Lie Theory,
9
(1999), 293--304 (pdf).
- Equivariant D-modules attached to nilpotent orbits in a
semisimple Lie algebra, Transformation Groups, 3 (1998),
337--353 (pdf).
- Differential operators commuting with invariant functions,
with
J.T. Stafford, Comment. Math. Helv., 72 (1997), 426--433
(pdf).
- Semi-simplicity of invariant holonomic systems on a reductive
Lie
algebra, with J.T. Stafford, Amer. J. Math., 119 (1997),
1095--1117 (pdf), and Corrigendum (pdf).
- The kernel of an homomorphism of Harish-Chandra, with J.T.
Stafford, Ann. Sci. Éc. Normale Sup., 29 (1996),
385--397 (pdf).
- Invariant Differential Operators and an Homomorphism of
Harish-Chandra, with J.T. Stafford, J. Amer. Math. Soc.,
8
(1995), 365--372 (pdf).
- Algebraic structure of multi-parameter quantum groups, with
T.J.
Hodges and M. Toro, Advances in Math., 126 (1997),
52--92 (pdf).
- Primitive ideals of Cq[SL(n)], with T.J. Hodges, J.
Algebra,
168 (1994), 455--468 (pdf).
- Primitive ideals of Cq[SL(3)], with T.J. Hodges, Comm.
Math.
Phys., 156 (1993), 581--605 (pdf).
- The quantum coordinate ring of the special linear group, with
J.T. Stafford, J. Pure and Applied Algebra, 86 (1993),
181--186
(pdf).
- Modules over the Sklyanin Algebra, with S.P. Smith, Bull.
Soc. Math. France, 121 (1993), 35--90 (pdf).
- Some Properties of Non-commutative Regular Graded Rings, Glasgow Math J., 34
(1992),
277-300 (pdf).
- Rings of differential operators on classical rings of
invariants,
with J.T. Stafford, Mem. Amer. Math. Soc., 81, 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 (pdf).
- Differential operators on a reductive Lie algebra, Lectures
given
at the University of Washington, Seattle, 1995 (pdf).
- Orbite nilpotente minimale, with P. Tauvel, 1994 (pdf).
- Primitive ideals of the quantum group Cq[G], with T.J. Hodges,
1993 (pdf).