The generalised Jacobson-Morosov theorem / Peter O'Sullivan.

Author/creator O'Sullivan, Peter, 1951-
Format Electronic
Publication InfoProvidence, R.I. : American Mathematical Society,
Descriptionvii, 120 p. ; 25 cm.
Supplemental ContentFull text available from Memoirs of the American Mathematical Society - Backfile
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects
Linear algebraic groups.
Group theory.
Commutative rings.
Algebraic varieties.
Geometry, Algebraic.

SeriesMemoirs of the American Mathematical Society, 0065-9266 ; no. 973
Contents Affine group schemes over a field of characteristic zero -- Universal and minimal reductive homomorphisms -- Groups with action of a proreductive group -- Families of minimal reductive homomorphisms.
Abstract "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, Andr©Øe 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.
General note"Volume 207, number 973 (third of 5 numbers)."
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2010022758
ISBN9780821848951 (pbk. : alk. paper)

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