On the module structure of the center of hyperelliptic Krichever–Novikov algebras II

Abstract

Let corresponding to a nonsingular hyperelliptic curve. Let be the corresponding current Lie algebra. The universal central extension of is where is a module over In earlier work, Cox–Im described how decomposes into a direct sum of irreducible representations when was the cyclic group or the dihedral group In this paper, we precisely determine giving examples of 2n-tuples when is or (n even). We then describe the decomposition of when is