List of Publications:

 

 

1.   Injective Modules for Group Algebras of Locally Finite Groups,

Proc. Camb. Philos. Soc., 84 (1978) 247-262.

 

2.   Injective Modules for Group Algebras of Polycyclic Groups I,

Quarterly J. Math. (2), 31 (1980) 429-448.

 

3.   Injective Modules for Group Algebras of Polycyclic Groups II,

Quart. J. Math. (2), 31 (1980) 449-466.

 

4.   Irreducible Modules for Group Algebras of Polycyclic Groups,

Canad. J. Math., 33 (1981) 901-914.

 

5.   Some Examples of Modules over Noetherian Rings,

Glasgow Math. J., 23 (1982) 9-13.

 

6.   Residual Nilpotence of the Unit Group of Integral Group Rings,

Arch. Math., 38 (1982) 514-530 (with Al Weiss).

 

7.   Representations of Infinite Soluble Groups,

Glasgow Math. Journal, 24 (1983) 43-52.

 

8.   On the Structure of Certain Injective Modules over Group Algebras

of Soluble Groups of Finite Rank, J. of Algebra, 85 (1983) 51-75.

 

9.   Subrings of Quotient Rings of Noetherian Rings,

in Methods in Ring Theory ed. F. van Oystaeyen,

Proceedings of a conference at the University of Antwerp,

publ. D. Reidel 1984, pages 379-389.

 

10.  Some Rings of Differential Operators which are Morita Equivalent to

the Weyl Algebra A , Proc. Amer. Math. Soc., 98 (1986) 29-30.

 

11.  Rings of Differential Operators on Invariant Rings of Tori,

Trans. Amer. Math. Soc., 303 (1987) 805-827.

 

12.  Actions of Tori on Weyl Algebras,

Comm. in Algebra, 16 (1988) 139-148.

 

13.  Injective Modules, Localization and Completion in Group Algebras,

J. Pure and Applied Algebra, 57 (1989) 265-279.

 

14.  Rings of Differential Operators and Zero Divisors,

J. of Algebra, 125 (1989) 489-501.

 

15.  Gel'fand-Kirillov Dimension of Twisted Laurent Extensions,

Comm. in Algebra, 17 (1989) 2853-2856.

 

16.  Rings of Differential Operators on One Dimensional Algebras,

Pacific J. Math., 147 (1991) 269-290 (with Marc Chamarie).

 

17.  Primitive Factors of Enveloping Algebras of Nilpotent Lie Superalgebras,

J. London Math. Soc., 42 (1990) 401-408 (with Allen Bell).

 

18.  Differential Operators on Some Affine Cones,

Archiv der Mathematik, 56 (1991) 86-95.

 

19.  A Classification of Primitive Ideals in the Enveloping Algebras of

a Classical Simple Lie Superalgebra,

Advances in Mathematics, 91 (1992) 252-268.

 

20.  Enveloping Algebras of Lie Superalgebras - A Survey. 

Proceedings of a Conference in honor of Prof. G. Azumuya,

Contemporary Mathematics, 124 (1992) 141-149.

 

21.  Primitive Ideals in the Enveloping Algebra of the Lie Superalgebra

sl(2,1), J. of Algebra, 159 (1993) 306-331.

 

22.  Malcev-Neumann Group Rings,

Comm. in Algebra, 21 (1993) 2065-2075 (with Keith Stafford).

 

23.  Ring Theoretic Properties of the Coordinate Rings of Quantum Symplectic

and Euclidean Space in Ring Theory,

Proc. of Denison Conference World Scientific, (1993) 248-252.

 

24.  Hopf Algebra Duality, Injective Modules and Quantum Groups,

Comm. in Algebra, 22 (1994) 4661-4692 (with William Chin).

 

25.  Differential Operators on Toric Varieties,

J. of Pure and Applied Algebra, 95 (1994) 303-315.

 

26.  Complete Sets of Representations of Lie Superalgebras,

Letters in Mathematical Physics, 31 (1994) 247-253 (with Ed Letzter).

 

27.  Conditions for a Module to be Injective and Some Applications

to Hopf Algebra Duality, Proc. Amer. Math. Soc., 123 (1995) 693-702.

 

28.  The Coradical Filtration for Quantized Enveloping Algebras,

Journal of the London Mathematical Society,

J. London Math. Soc.  53 (1996), no. 1, 50--62, (with W. Chin).

Corrigenda: J. London Math. Soc. (2)  61  (2000),  no. 1, 319--320.

 

29.  Multiparameter Quantum Enveloping Algebras,

J. of Pure and Applied Algebra, 107 (1996) 171-191 (with W. Chin).

 

30.  The First Two Terms of the Coradical Filtration for Multiparameter

Quantum U(gl_{N}), Comm. in Algebra, 24 (1996) 3845-3883

(with W. Chin, R. Larson and J.  Towber).

 

31.  The Enveloping Algebra of the Lie Superalgebra osp(1,2r),

Representation Theory, An electronic journal of the AMS, 1 (1997) 405-423.

 

32.  Links Between Cofinite Prime Ideals in Quantum Function Algebras,

Israel Journal of Mathematics, 100 (1997) 285-308.

 

33. On the Center of the Enveloping Algebra of a Classical Simple Lie

Superalgebra,

J. of Algebra, 193 (1997) 75-101.

 

34. Crystal Bases for U_{q}(osp(1,2r)), with Yi Ming Zou

J. of Algebra, 210 (1998), 514-534.

 

35. Invariants under Tori of Rings of Differential Operators and Related

Topics, with Michel van den Bergh, Memoirs AMS Number 650, 1998.

 

36. Some Lie Superalgebras Related to the Weyl Algebras,

Proc. Amer. Math.  Soc., 127 (1999), 2821-2827.

 

37.  Noetherian Down-up Algebras (with E. Kirkman and D. S. Passman),

Proc. Amer. Math. Soc.  127  (1999), 3161--3167.

 

38. Down-up Algebras and Their Representation Theory (with Paula Carvalho)

J. Algebra  228  (2000),  286--310.

 

39.  On the Goldie quotient ring of the enveloping algebra of a classical simple

Lie superalgebra.  J. Algebra  235  (2001), 203--213.

 

40.  Associated varieties for classical Lie superalgebras.  Hopf algebras and

quantum groups (Brussels, 1998),  177--188, Lecture Notes in Pure and Appl.

Math., 209, Dekker, New York, 2000.

 

41.  Finite quantum groups and pointed Hopf algebras.  Quantum groups and Lie

theory (Durham, 1999),  191--205, London Math. Soc. Lecture Note Ser., 290,

Cambridge Univ. Press, Cambridge, 2001.

 

42. PI envelopes of Lie superalgebras,  Proc. Amer. Math. Soc.  130

(2002), 3185--3191.

 

43. Hopf down-up algebras.  (with Ellen E. Kirkman)

  J. Algebra  262  (2003),  no. 1, 42--53.

 

44. Finite dimensional representations of invariant differential operators. 

Trans Amer Math Soc, 357 (2004), 2739-2752 (with Sonia L. Rueda).

 

45. Classical simple Lie superalgebras, Clifford algebras, induced

modules and nilpotent orbits, Advances in Mathematics, 207 (2006), 39-72.

 

46. Hilbert Schemes and Noncommutative Deformations of Type A Kleinian Singularities. Journal of Algebra 293 (2005), 102-129.

 

47. Faithful Cyclic Modules for Enveloping Algebras and Sklyanin

 Algebras. Groups, Rings and Modules, a conference in honor of Don Passman,

pages 269-276, Contemporary Math. 420, Amer. Math. Soc. 2006.  

 

48. Invariant Differential Operators and FCR factors of Enveloping algebras

(with Jeb F. Willenbring Comm. Algebra 36 (2008), no. 10, 37593777.


49. Hochschild cohomology and deformations of Clifford-Weyl algebras. SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), Paper 028
(with Georges Pinczon and Rosane Ushirobira).


50. Combinatorics of character formulas for the Lie superalgebra gl(m,n) . Transform. Groups 16 (2011), no. 2, 555578.
(with Vera Serganova).



51.
Monolithic modules over Noetherian rings. Glasg. Math. J. 53 (2011), no. 3, 683692.
(with Paula Carvalho).

52. Lie superalgebras and enveloping algebras. Graduate Studies in Mathematics, 131.
American Mathematical Society, Providence, RI, 2012. xx+488 pp. ISBN: 978-0-8218-6867-6


53.Finitely generated, non-Artinian monolithic modules. New trends in noncommutative algebra, 211220, Contemp. Math., 562, Amer. Math. Soc.

gl(m,n)