The generalised Jacobson-Morosov theorem / (Record no. 42720)

000 -LEADER
fixed length control field 02793cam a2200433 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781470405878 (online)
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.5
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name O'Sullivan, Peter,
245 14 - TITLE STATEMENT
Title The generalised Jacobson-Morosov theorem /
Statement of responsibility, etc Peter O'Sullivan.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Providence, R.I. :
Name of publisher American Mathematical Society,
Year of publication 2010.
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1 online resource (vii, 120 p.)
490 0# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society,
500 ## - GENERAL NOTE
General note "Volume 207, number 973 (third of 5 numbers)."
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc "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�ae 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Linear algebraic groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Group theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Commutative rings.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebraic varieties.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Geometry, Algebraic.
856 4# - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.ams.org/memo/0973
856 4# - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1090/S0065-9266-10-00603-4
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
588 ## -
-- Description based on print version record.
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK13426 http://dx.doi.org/10.1090/S0065-9266-10-00603-4 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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