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Correction to "Infinite Dimensional DeWitt Supergroups and Their Bodies"

  • Ronald Owen Fulp,
    North Carolina State University, Department of Mathematics, North Carolina State University, Raleigh NC 27695, USA
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Abstract

The Theorem below is a correction to Theorem 3.5 in the article entitled " Infinite Dimensional DeWitt Supergroups and Their Bodies" published in Canad. Math. Bull. Vol. 57 (2) 2014 pp. 283-288. Only part (iii) of that Theorem requires correction. The proof of Theorem 3.5 in the original article failed to separate the proof of (ii) from the proof of (iii). The proof of (ii) is complete once it is established that $ad_a$ is quasi-nilpotent for each $a$ since it immediately follows that $K$ is quasi-nilpotent. The proof of (iii) is not complete in the original article. The revision appears as the proof of (iii) of the revised Theorem below.
Keywords: super groups, body of super groups, Banach Lie groups super groups, body of super groups, Banach Lie groups
MSC Classifications: 58B25, 17B65, 81R10, 57P99 show english descriptions Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05]
Infinite-dimensional Lie (super)algebras [See also 22E65]
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70]
None of the above, but in this section
58B25 - Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05]
17B65 - Infinite-dimensional Lie (super)algebras [See also 22E65]
81R10 - Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70]
57P99 - None of the above, but in this section
 

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