4 citations · 4 across the 2 of their papers we have counts for
4 papers
Subalgebras of Hyperbolic Kac-Moody Algebras
Alex J. Feingold, Hermann Nicolai
The hyperbolic (and more generally, Lorentzian) Kac-Moody (KM) Lie algebras $\cA$ of rank are shown to have a rich structure of indefinite KM subalgebras which can be des…
Fusion Rules for Affine Kac-Moody Algebras
Alex J. Feingold
This is an expository introduction to fusion rules for affine Kac-Moody algebras, with major focus on the algorithmic aspects of their computation and the relationship with tensor…
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…
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…