Tools

LEADER 02925cam 2200517 a 4500

001 ocn643081625;

003 OCoLC;

005 20141212052949.0;

008 100617s2010 riu b 001 0 eng ;

010 a| 2010022758;

020 a| 9780821848951 (alk. paper);

020 a| 082184895X (alk. paper);

035 a| (Sirsi) o643081625;

035 a| (OCoLC)643081625;

042 a| pcc;

049 a| EREE;

050 00 a| QA179b| .O88 2010;

050 4 a| QA3b| .A57 no.973;

082 00 a| 512/.52| 22;

100 1 a| O'Sullivan, Peter,d| 1951-=| ^A1021177;

245 14 a| The generalised Jacobson-Morosov theorem /c| Peter O'Sullivan.;

260 a| Providence, R.I. :b| American Mathematical Society,c| 2010.;

263 a| 1008;

300 a| vii, 120 pages ;c| 25 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Memoirs of the American Mathematical Society ;v| no. 973;

500 a| "Volume 207, number 973 (third of 5 numbers).";

504 a| Includes bibliographical references (p. 117) and index.;

505 0 a| 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.;

520 a| "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, André 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 a| Linear algebraic groups.=| ^A30187;

650 0 a| Group theory.=| ^A17120;

650 0 a| Commutative rings.=| ^A20887;

650 0 a| Algebraic varieties.=| ^A50799;

650 0 a| Geometry, Algebraic.=| ^A42380;

830 0 a| Memoirs of the American Mathematical Societyv| no. 973.=| ^A638158;

949 a| QA3 .A57 no.973h| JOYNER48o| jawwi| 30372015444356;

994 a| C0b| ERE;

938 a| YBP Library Servicesb| YANKn| 3374635;

590 a| FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57.;

596 a| 1;

998 a| 2316056;

999 a| QA3 .A57 NO.973w| LCc| 1i| 30372015444356d| 12/6/2012e| 9/20/2010f| 12/6/2012g| 1l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 9/16/2010x| BOOKz| JSTACKSo| .STAFF. jaww;

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

Author/creator	O'Sullivan, Peter, 1951-
Format	Book
Publication Info	Providence, R.I. : American Mathematical Society, 2010.
Description	vii, 120 pages ; 25 cm.
Subjects	Linear algebraic groups. Group theory. Commutative rings. Algebraic varieties. Geometry, Algebraic.

Series	Memoirs of the American Mathematical Society ; no. 973 Memoirs of the American Mathematical Society no. 973. ^A638158
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, André 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.
Local note	FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57.
General note	"Volume 207, number 973 (third of 5 numbers)."
Bibliography note	Includes bibliographical references (p. 117) and index.
LCCN	2010022758
ISBN	9780821848951 (alk. paper)
ISBN	082184895X (alk. paper)

Availability

Library	Location	Call Number	Status	Item Actions
Joyner	General Stacks	QA3 .A57 NO.973	✔ Available	Place Hold

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

Click here for more information about this title

Availability