Abstract view
Correction to "Infinite Dimensional DeWitt Supergroups and Their Bodies"


Published:20140926
Printed: Mar 2015
Ronald Owen Fulp,
North Carolina State University, Department of Mathematics, North Carolina State University, Raleigh NC 27695, USA
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. 283288. 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 quasinilpotent for each $a$ since it immediately
follows that $K$
is quasinilpotent. The proof of (iii) is not complete
in the original article. The revision appears as the proof of
(iii) of the revised Theorem below.
MSC Classifications: 
58B25, 17B65, 81R10, 57P99 show english descriptions
Group structures and generalizations on infinitedimensional manifolds [See also 22E65, 58D05] Infinitedimensional Lie (super)algebras [See also 22E65] Infinitedimensional groups and algebras motivated by physics, including Virasoro, KacMoody, $W$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 infinitedimensional manifolds [See also 22E65, 58D05] 17B65  Infinitedimensional Lie (super)algebras [See also 22E65] 81R10  Infinitedimensional groups and algebras motivated by physics, including Virasoro, KacMoody, $W$algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70] 57P99  None of the above, but in this section
