Duncan J. Melville

Quantized enveloping algebras for Borcherds superalgebras

The rst author was supported in part by NSF Grant #DMS-9300523. The second author was supported in part by the Nondirected Research Fund, Korea Research Foundation, 1996. The third author was supported in part by a Faculty Research Grant from St. Lawrence University.

Centroids of nilpotent lie algabras

(1992). Centroids of nilpotent lie algabras. Communications in Algebra: Vol. 20, No. 12, pp. 3649-3682.

Quantum Deformations of Imaginary Verma Modules

We construct quantum deformations of imaginary Verma modules over

Quantum Deformations of α-Stratified Modules

U(A_1^{(1)})

Voting power when using preference ballots

and show that, for generic

After Neugebauer: Recent Developments in Mesopotamian Mathematics

q

Equivalence of certain categories of modules for quantized affine lie algebras

, imaginary Verma modules over

Weighing Stones in Ancient Mesopotamia

U(A_1^{(1)})

Categories of nonstandard highest weight modules for affine Lie algebras

can be deformed to those over the quantum group

Poles and walls in Mesopotamia and Egypt

U_q(A_1^{(1)})