COMMUTATORS IN CLASSICAL LIE-ALGEBRAS

被引：3

作者：

HIRSCHBUHL, R

机构：

[1] Mathematisches Institut der Universität Freiburg, Albertstraße 23

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1990年 / 142卷

关键词：

D O I：

10.1016/0024-3795(90)90258-E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If the field K has enough elements or if its characteristic is suitably restricted, then for a given element A of a perfect classical Lie algebra L it is possible to compute in polynomial time X, Y ∈ L such that A = [X, Y]. © 1990.

引用

页码：91 / 111

页数：21

共 50 条

[1] CLASSICAL LIMIT FOR LIE-ALGEBRAS
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[J]. ANNALS OF PHYSICS, 1990, 199 (01) : 187 - 224
[2] ON DECOMPOSABILITY OF COMMUTATORS OF VARIETIES OF LIE-ALGEBRAS AND GROUPS INTO PRODUCTS
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[J]. MATHEMATICS OF THE USSR-SBORNIK, 1981, 116 (03): : 283 - 297
[3] REPRESENTATIONS OF CERTAIN CLASSICAL LIE-ALGEBRAS
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[J]. LECTURE NOTES IN MATHEMATICS, 1981, 848 : 33 - 40
[4] CANONICAL REALIZATIONS OF CLASSICAL LIE-ALGEBRAS
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[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1976, 26 (11) : 1213 - 1228
[5] INNER IDEALS AND CLASSICAL LIE-ALGEBRAS
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[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (03): : A365 - A365
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[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1978, 75 (02) : 578 - 579
[8] CLASSICAL REALIZATION OF YBZF ALGEBRAS FROM CLASSICAL REALIZATIONS OF LIE-ALGEBRAS
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[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (16): : L1053 - L1056
[9] CLASSICAL-GROUPS AND CLASSICAL LIE-ALGEBRAS OF OPERATORS
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[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1982, 38 : 477 - 513
[10] INDUCED CONJUGACY CLASSES IN CLASSICAL LIE-ALGEBRAS
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[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1983, 53 : 53 - 83

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