O'Sullivan P. The generalised Jacobson-Morosov theorem. - Providence: American Mathematical Society, 2010. - vii, 120 p. - (Memoirs of the American Mathematical Society; Vol.207, N 973). - Ref.: p.73-74. - ISBN 978-0-8218-4895-1; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Introduction .................................................... 1 Notation and Terminology ........................................ 5 Chapter 1. Affine Group Schemes over a Field of Characteristic Zero ................................................. 7 1.1 Groups ..................................................... 7 1.2 Representations ........................................... 14 1.3 Spaces of homomorphisms ................................... 25 Chapter 2. Universal and Minimal Reductive Homomorphisms ....... 33 2.1 Reductive homomorphisms ................................... 33 2.2 Universal reductive homomorphisms ......................... 42 2.3 Minimal reductive homomorphisms ........................... 50 Chapter 3. Groups with Action of a Proreductive Group .......... 59 3.1 Simply connected groups ................................... 59 3.2 Groups with action of a group ............................. 65 3.3 Equivariant homomorphisms ................................. 71 Chapter 4. Families of Minimal Reductive Homomorphisms ......... 83 4.1 Stratifications and constructible subsets ................. 83 4.2 Reductive group schemes ................................... 89 4.3 Universal families ....................................... 101 Bibliography .................................................. 117 Index ......................................................... 119