The generalised Jacobson-Morosov theorem
By: Peter O'Sullivan
Series: Memoirs of the American Mathematical Society -- v. 973; Memoirs of the American Mathematical Society -- no. 973
Publisher: American Mathematical Society
Published: 2010
Place of publication: Providence, R.I
Language: eng
Format: [electronic resource]
Number of pages: 120
ISBN-13: 9781470405878
Subjects: Algebraic varieties; Commutative rings; Algebraic Geometry; Group theory; Linear algebraic groups
Description: "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, Andrâe 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."--Publisher's description.
Notes: "Volume 207, number 973 (third of 5 numbers)."

Includes bibliographical references and index.

Mode of access: World Wide Web.

Description based on print version record.