On Arithmetic Invariant Theory for Special Orthogonal Group of Odd Degree
Date Issued
2015
Date
2015
Author(s)
Chen, Chien-Hua
Abstract
Let G be a reductive group , k be a field of odd characteris- tic with a seperable closure ks, and V be a representation of G. The geometric invariant theory deals with the classifica- tion of G(ks)-orbits on V . In this thesis, I study the paper of Bhargava and Gross that deals with the problem on the clas- sification of the G(k)-orbits on V which allows us to translate this problem into a language of Galois Cohomology. Then we deliver several approaches to solve this problem in some special cases.
Subjects
SO_2n+1
Arithmetic Invariant Theory
Type
thesis
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