Derivations of certain algebras defined by ,tale descent

被引：11
|
作者：
Pianzola, Arturo [1 ,2 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Inst Argentino Matemat, RA-1083 Buenos Aires, DF, Argentina
来源：
MATHEMATISCHE ZEITSCHRIFT | 2010年 / 264卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Twisted form; Derivation; Centroid; Etale descent; Multiloop algebra; LAURENT POLYNOMIAL-RINGS; LOOP ALGEBRAS; LIE-ALGEBRAS; COHOMOLOGY; AFFINE;
D O I：
10.1007/s00209-009-0473-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an explicit description of the Lie algebra of derivations for a class of infinite dimensional algebras which are given by ,tale descent. The algebras under consideration are twisted forms of central algebras over rings, and include the multiloop algebras that appear in the construction of extended affine Lie algebras.
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页码：485 / 495
页数：11
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