The primary objective of this study is the assessment of the safety of intramuscular administration to alpha-sarcoglycan deficient subjects of recombinant adeno-associated virus serotype 1 (rAAV1)-human alpha-sarcoglycan gene (hαSG) vector under control of a skeletal muscle creatine kinase promoter. The secondary objective is to determine the dose of rAAV1.tMCK.hαSG vector required to achieve a detectable level of alpha-sarcoglycan in muscle of subjects with this disorder.