Journal of Lie Theory 26 (2016), No. 1, 293--295
Copyright Heldermann Verlag 2016
Erratum of "Isomorphy Classes of Involutions of Sp(2n, k), n>2"
Robert W. Benim
Dept. of Mathematics and Computer Science, Pacific University, 2043 College Way, Forest Grove, OR 97116, U.S.A.
rbenim@gmail.com
Aloysius G. Helminck
Dept. of Mathematics, North Carolina State University, 108 SAS Hall, Box 8205, Raleigh, NC 27695, U.S.A.
loek@ncsu.edu
Farrah Jackson Ward
Dept. of Mathematics and Computer Science, Elizabeth City State University, 132 Lane Hall, Campus Box 851, Elizabeth City, NC 27909, U.S.A.
fmjackson@ecsu.edu
In "Isomorphy Classes of Involutions of Sp(2n,k), n>2", which was published in Volume 25 of the Journal of Lie Theory, we developed a detailed characterization of the involutions of Sp(2n,k). We used these results to classify the isomorphy classes of involutions of Sp(2n, k) where k is any field not of characteristic 2. It has become apparent that there are two similar errors in this paper that occur in some technical lemmas. We correct these errors here. These corrections preserve the results of the paper.
Keywords: Symplectic Group, Involutions, Inner-automophisms.
MSC: 20G15, 20K30
[ Fulltext-pdf (206 KB)] for subscribers only.