Abstract
We attempt to refine Kac's arguments and to generalize them to the case of generalized Kac-Moody algebras in order to study an isomorphism between the center of (a completion of) the universal enveloping algebra and the algebra of complex-valued functions on the dual of the Cartan subalgebra with certain infinitely many affine hyperplanes removed.
ACKNOWLEDGMENTS
I would like to express my sincere thanks to V. G. Kac for discussions and for giving me an offprint of his paper Citation[3].