The object of this paper, which is the first in a series of three, is to lay the foundations of the theory of ideals and algebraic sets over groups. แฎ 1999 Aca- demic Press CONTENTS 1. Introduction. 1.1. Some general comments. 1.2. The category of G-groups. 1.3. Notions from commutative algebra. 1.4
Excellent Algebraic Groups, I
โ Scribed by Ina Kersten; Ulf Rehmann
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 215 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
It has an obvious analogue for a semisimple linear algebraic group G over an arbitrary field k: the group G is excellent if, for any field extension K of k, the anisotropic kernel of the K-group G = K can be defined by a k-group. The aim of this paper is to k investigate excellence properties of special linear and orthogonal groups.
๐ SIMILAR VOLUMES
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He thanks both the CNR for its generous support and Roma II for its hospitality. The author also thanks Richard Mosak for reading an earlier version of the paper as well as the referee for a number of remarks which have smoothed out the exposition. 20
In this paper, we study if the following properties are present in defect 3 blocks ลฝ . of symmetric group algebras k แก , where k has characteristic p G 5 : n ลฝ . 1 the Ext-quiver is bipartite; ลฝ . 2 the p.i.m.'s have a common Loewy length 7. We obtain a criteria for a defect 3 block B of k แก to inhe
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