Fractional weight multiplier systems on SU(d,1)

Abstract

For a class of arithmetic subgroups $\Gamma$ in SU(d,1) we prove that for every positive integer $n$ there exists a subgroup ${\Gamma }_n$ of finite index in $\Gamma$, which lifts to the $n$-fold connected cover of of SU(d,1). Consequently ${\Gamma }_n$ has a multiplier system of weight $\frac{1}{n}$.

References in corpus (1)

• A calculation of a half-integral weight multiplier system on SU(2,1)