RATIONAL SUBGROUPS AND INVARIANTS OF F-4

Hooda Neha; Thakur Maneesh

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RATIONAL SUBGROUPS AND INVARIANTS OF F-4

机译：F-4的Rational子组和不变性

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It is known that simple algebraic groups of type F-4, defined over a field k, are precisely the full automorphism groups of Albert algebras over k. For an Albert division algebra A over a field k of characteristic different from 2 and 3 and G = Aut(A), the full group of algebra automorphisms of A, it is known that any connected, simple k-subgroup of G is of type A(2) or D-4. In this paper, we classify all k-embeddings of connected, simple groups of type A(2) and D-4 in G and give Galois cohomological conditions for such embeddings to exist, along with some applications.

机译：众所周知，在田间K上定义的F-4型型F-4的简单代数基团是k的完整万态体组。对于Albert Displace代数A在不同的特征范围内，不同于2和3和G = AUT（a），众所周知，G的任何连接，简单的k子组是类型的 A（2）或D-4。在本文中，我们将连接，简单的A（2）和D-4中的连接，简单组的所有K嵌入物分类，并为这种嵌入提供伽罗犬的协调条件以及一些应用。

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《Israel Journal of Mathematics》 |2019年第2期|共47页
作者
Hooda Neha; Thakur Maneesh;
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New Jersey City Univ Dept Math 2039 Kennedy Blvd Jersey City NJ 07305 USA;

Indian Stat Inst Stat Math Unit 8th Mile Mysore Rd Bangalore 560059 Karnataka India;

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正文语种 eng
中图分类数学;
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RATIONAL SUBGROUPS AND INVARIANTS OF F-4

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