The Generalised Jacobson-Morosov theorem
"The author considers homomorphisms H to K from an affine group scheme H over a field k of characteristic zero to a proreductive group K. Using a general categorical splitting theorem, Andrãae and Kahn proved that for every H there exists such a homomorphism which is universal up to conjugacy. The author gives a purely group-theoretic proof of this result. The classical Jacobson-Morosov theorem is the particular case where H is the additive group over k. As well as universal homomorphisms, the …
Read More ↓Title Statements
- Full title :The Generalised Jacobson-Morosov theorem / Peter O'Sullivan.
Summary
"The author considers homomorphisms H to K from an affine group scheme H over a field k of characteristic zero to a proreductive group K. Using a general categorical splitting theorem, Andrãae and Kahn proved that for every H there exists such a homomorphism which is universal up to conjugacy. The author gives a purely group-theoretic proof of this result. The classical Jacobson-Morosov theorem is the particular case where H is the additive group over k. As well as universal homomorphisms, the author considers more generally homomorphisms H to K which are minimal, in the sense that H to K factors through no proper proreductive subgroup of K. For fixed H, it is shown that the minimal H to K with K reductive are parametrised by a scheme locally of finite type over k."--Library of Congress.
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:2010.
The Physical Object
- Description:120 p.
Edition Identifiers
- ISBN:9780821848951, 082184895X
- oclc:ocn805104783
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Files & Downloads
-
The generalised Jacobson-Morosov theorem -- (.pdf)
PDF · 1.1 MB · updated
Rate & Review