A δ-first Whitehead Lemma
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202C0D" target="_blank" >RIV/61988987:17310/21:A2202C0D - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jalgebra.2020.12.040" target="_blank" >https://doi.org/10.1016/j.jalgebra.2020.12.040</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jalgebra.2020.12.040" target="_blank" >10.1016/j.jalgebra.2020.12.040</a>
Alternative languages
Result language
angličtina
Original language name
A δ-first Whitehead Lemma
Original language description
We prove that delta-derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivations, or, in the case of adjoint module, multiplications by a scalar, or some exceptional cases related to sl(2). This can be viewed as an extension of the classical first Whitehead Lemma.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Algebra
ISSN
0021-8693
e-ISSN
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Volume of the periodical
573
Issue of the periodical within the volume
1 May 2021
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
476-491
UT code for WoS article
000617653500018
EID of the result in the Scopus database
2-s2.0-85099619929