On Linear Groups of Degree 2n Containing a Representation of the Special Linear Group of Degree n |
| |
| Authors: | E L Bashkirov C K Gupta |
| |
| Institution: | 1. Abdus Salam School of Mathematical Sciences, GC University , Lahore, Pakistan zh.bash@mail.ru;3. Department of Mathematics , University of Manitoba , Winnipeg, Manitoba, Canada |
| |
| Abstract: | Let n be an integer, n ≥ 2, and let a field P be a quadratic extension of an infinite field k. Regarding P as a k-vector space of dimension 2, we consider an n-dimensional P-vector space V as a 2n-dimensional k-vector space so the general linear group GL n (P) acting on V is embedded in the group GL 2n (k). Let a field K be an algebraic extension of k. In this article, we determine overgroups of the special linear group SL n (P) in the group GL 2n (K). |
| |
| Keywords: | Linear groups Unipotent elements |
|
|
