A Note on Quasi-Lie and Hom-Lie Structures of σ-Derivations of C[z1±1, ... ,zn±1]

被引：11
|
作者：
Richard, Lionel [1 ]
Silvestrov, Sergei [2 ]
机构：
[1] Univ Edinburgh, Sch Math, Maxwell Inst Math Sci, JCMB Kings Bldg, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden
来源：
GENERALIZED LIE THEORY IN MATHEMATICS, PHYSICS AND BEYOND | 2009年
基金：
英国工程与自然科学研究理事会; 瑞典研究理事会;
关键词：
ALGEBRAS; DEFORMATIONS;
D O I：
10.1007/978-3-540-85332-9_22
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a previous paper we studied the properties of the bracket defined by Hartwig, Larsson and the second author in (J. Algebra 295, 2006) on sigma-derivations of Laurent polynomials in one variable. Here we consider the case of several variables, and emphasize on the question of when this bracket defines a hom-Lie structure rather than a quasi-Lie one.
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页码：257 / +
页数：2
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