Correction to 'Infinite Dimensional DeWitt Supergroups and Their Bodies'

摘要

The Theorem below is a correction to Theorem3.5 in the articleentitled " Infinite Dimensional DeWitt Supergroups and TheirBodies" publishedin Canad. Math. Bull. Vol. 57 (2) 2014 pp. 283-288. Only part(iii) of that Theoremrequires correction. The proof of Theorem 3.5 in the originalarticle failed to separatethe proof of (ii) from the proof of (iii). The proof of (ii)is complete once it is establishedthat $ad_a$ is quasi-nilpotent for each $a$ since it immediatelyfollows that $K$is quasi-nilpotent. The proof of (iii) is not completein the original article. The revision appears as the proof of(iii) of the revised Theorem below.