Generalized derivations of current Lie algebras

被引：0

作者：

Benkovic, Dominik ^{[1
,2
]}

Eremita, Daniel ^{[1
,2
]}

机构：

[1] Univ Maribor, Fac Nat Sci & Math, Koroska Cesta 160, Maribor 2000, Slovenia

[2] Inst Math Phys & Mech, Ljubljana, Slovenia

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 11期

关键词：

Current Lie algebra; derivation; generalized derivation; Lie algebra; quasiderivation; tensor product of algebras;

D O I：

10.1080/00927872.2024.2354423

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a Lie algebra and let A be an associative commutative algebra with unity, both over the same field F. We consider the following question. Is every generalized derivation (resp. quasiderivation) of L circle times A the sum of a derivation and a map from the centroid of L circle times A , if the same holds true for L?

引用

页码：4603 / 4611

页数：9

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