Publications
-
Centroids of nilpotent Lie algebras, Comm. Alg. 20 (1992) 3649-3682.
-
Centroids and Cartan algebras, Comm. Alg. 21 (1993) 2791-2818.
-
Root multiplicities of the Kac-Moody algebras HA_n^{1}, J. Alg. 170
(1994) 277-299 (with S.-J. Kang).
-
Root multiplicities of hyperbolic Kac-Moody algebras, in Modern Trends
in Lie algebra representation theory, (V. Futorny and D. Pollack, eds.)
1994, 73-87.
-
Rank 2 symmetric hyperbolic Kac-Moody algebras, Nagoya Math. J. 140
(1995) 41-75 (with S.-J. Kang).
-
Categories of nonstandard highest weight modules for affine Lie algebras,
Math.
Zeit. 221 (1996) 193-209 (with B. Cox and V. Futorny).
-
Voting power when using preference ballots, Social Choice and Welfare
13
(1996) 457-465 (with D.B. Haunsperger).
-
Quantum deformations of imaginary Verma modules, Proc. LMS. 74,1
(1997) 52-80 (with B. Cox, V. Futorny and S.-J. Kang).
-
Quantized
enveloping algebras for Borcherds superalgebras, Trans. AMS 350,8
(1998) 3297-3319 (with G. Benkart and S.-J. Kang).
-
Quantum deformations of $\alpha$-stratified modules, Alg. and Rep. Theory
1 (1998) 135-153 (with V. Futorny).
-
Quantum imaginary Verma modules for affine Lie algebras, C.R. Math.
Rep. Canada 20,4 (1998) 119-123 (with V. Futorny and A. Grishkov).
-
Weighing stones in ancient Mesopotamia, Proc. Of CSHPM (1999) 164-177.
-
An A-form technique for quantum deformations, Recent Developments in
Quantum Affine Algebras and Related Topics (N. Jing and K.C. Misra
eds.) Contemp. Math 248, 1999, 359-375 .
-
Interpreting texts in a History of Mathematics clas, Proc. Of CSHPM
(2000) 298-306.
-
Verma-type modules for quantum affine Lie algebras, I, (preprint) (with
V. Futorny and A. Grishkov).
-
Equivalence of certain categories of modules for quantized affine Lie algebras,
(preprint) (with V. Futorny).
Go to My Home page.
Last modified: 30 August 2000
Duncan J. Melville
dmelville@stlawu.edu