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.
引用
收藏
页码：485 / 495
页数：11
相关论文
共 50 条
  • [1] Derivations of certain algebras defined by étale descent
    Arturo Pianzola
    Mathematische Zeitschrift, 2010, 264 : 485 - 495
  • [2] Descent study of the Lie algebra of derivations of certain infinite-dimensional Lie algebras
    Guo, Hongyan
    Kuttler, Jochen
    Pianzola, Arturo
    MANUSCRIPTA MATHEMATICA, 2024, 173 (3-4) : 1195 - 1215
  • [3] Descent study of the Lie algebra of derivations of certain infinite-dimensional Lie algebras
    Hongyan Guo
    Jochen Kuttler
    Arturo Pianzola
    manuscripta mathematica, 2024, 173 : 1195 - 1215
  • [4] DERIVATIONS ON CERTAIN CSL ALGEBRAS
    GILFEATHER, F
    JOURNAL OF OPERATOR THEORY, 1984, 11 (01) : 145 - 156
  • [5] DERIVATIONS OF CERTAIN C]-ALGEBRAS
    HALL, AA
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 5 (AUG): : 321 - &
  • [6] Lie derivations of certain CSL algebras
    Lu, Fangyan
    ISRAEL JOURNAL OF MATHEMATICS, 2006, 155 (1) : 149 - 156
  • [7] Local derivations on certain CSL algebras
    Zhang, JH
    Pan, FF
    Yang, AL
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 413 (01) : 93 - 99
  • [8] Additive derivations of certain reflexive algebras
    Li, Pengtong
    Ma, Jipu
    Wu, Jing
    HOUSTON JOURNAL OF MATHEMATICS, 2006, 32 (02): : 521 - 530
  • [9] Derivations and automorphisms of certain operator algebras
    Gilfeather, FL
    Smith, RR
    QUARTERLY JOURNAL OF MATHEMATICS, 1999, 50 (200): : 437 - 456
  • [10] CERTAIN LIE-ALGEBRAS OF DERIVATIONS
    FELIX, Y
    HALPERIN, S
    THOMAS, JC
    ANNALES DE L INSTITUT FOURIER, 1982, 32 (04) : 143 - 150
12345