Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584568 | Journal of Algebra | 2015 | 16 Pages |
Abstract
Let G be a simple linear algebraic group over a field F, and V an absolutely irreducible representation of G. We show that under some mild hypotheses there exists an invariant homogeneous polynomial f for the action of G on V defined over F, such that twisted forms of f up to a scalar multiple classify twisted forms of G for which the representation V is defined over F. This result extends the classical case of a quadratic form q and its orthogonal group O(q)O(q).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
H. Bermudez, A. Ruozzi,