Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582477 | Expositiones Mathematicae | 2010 | 6 Pages |
Abstract
Let FF be an algebraically closed field. Let VV be a vector space equipped with a non-degenerate symmetric or symplectic bilinear form B over FF. Suppose the characteristic of FF is sufficiently large , i.e. either zero or greater than the dimension of VV. Let I(V,B)I(V,B) denote the group of isometries. Using the Jacobson–Morozov lemma we give a new and simple proof of the fact that two elements in I(V,B)I(V,B) are conjugate if and only if they have the same elementary divisors.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Krishnendu Gongopadhyay,