2 papers
math.NT2001
Arithmetic partition sums and orbits of Z_n^k under the symmetric group S_k
Matthias Beck, Alex J. Feingold, Michael D. Weiner
We study M(n,k,r), the number of orbits of {(a_1,...,a_k)\in Z_n^k | a_1+...+a_k = r (mod n)} under the action of S_k. Equivalently, M(n,k,r) sums the partition numbers of an arith…
math.QA2000
Type A fusion rules from elementary group theory
Alex J. Feingold, Michael D. Weiner
We show how the fusion rules for an affine Kac-Moody Lie algebra g of type A_{n-1}, n = 2 or 3, for all positive integral level k, can be obtained from elementary group theory. The…