Constructing algebraic groups from their Lie algebras

被引：7

作者：

de Graaf, Willem A. ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Matemat, Trento, Italy

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2009年 / 44卷 / 09期

关键词：

Algebraic groups; Lie algebras; Computational methods;

D O I：

10.1016/j.jsc.2008.02.013

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A connected algebraic group in characteristic 0 is uniquely determined by its Lie algebra. In this paper algorithms are given for constructing an algebraic group in characteristic 0, given its Lie algebra. In particular, this leads to an algorithm for finding a maximal reductive Subgroup and the unipotent radical of an algebraic group. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1223 / 1233

页数：11

共 14 条

[1]

[Anonymous], 1979, LIE ALGEBRAS

[2]

[Anonymous], 1951, THEORIE GROUPES LIE

[3]

Borel A, 1969, ACTUALITES SCI IND, V1341

[4] The Magma algebra system .1. The user language [J].

Bosma, W ;

Cannon, J ;

Playoust, C .

JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) :235-265

[5]

CHEVALLEY C, 1955, THEOREMES GENERAUX A

[6]

de Graaf W. A., 2000, North-Holland Mathematical Library, V56

[7] Quantum automata and algebraic groups [J].

Derksen, H ;

Jeandel, E ;

Koiran, P .

JOURNAL OF SYMBOLIC COMPUTATION, 2005, 39 (3-4) :357-371

[8]

Fieker Claus, 2007, LMS J COMPUT MATH, V10, P271

[9]

Greuel G.M., 2002, A singular introduction to commutative algebra

[10] SOME GENERAL ALGORITHMS .1. ARITHMETIC GROUPS [J].

GRUNEWALD, F ;

SEGAL, D .

ANNALS OF MATHEMATICS, 1980, 112 (03) :531-583

← 1 2 →