B. Feigin et F. Malikov, FUSION ALGEBRA AT A RATIONAL LEVEL AND COHOMOLOGY OF NILPOTENT SUBALGEBRAS OF (SI)OVER-CAP-(2), letters in mathematical physics, 31(4), 1994, pp. 315-325
We define and calculate the fusion algebra of a WZW model at a rationa
l level using cohomological methods. As a byproduct, we obtain a cohom
ological characterization of admissible representations of ($$$) over
cap sl(2).