A $delta$-first Whitehead Lemma for Jordan algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603A6V" target="_blank" >RIV/61988987:17310/25:A2603A6V - isvavai.cz</a>

Result on the web

<a href="https://cm.episciences.org/13595" target="_blank" >https://cm.episciences.org/13595</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.46298/cm.13595" target="_blank" >10.46298/cm.13595</a>

Result language

angličtina

Original language name

A $delta$-first Whitehead Lemma for Jordan algebras

Original language description

We compute $delta$-derivations of simple Jordan algebras with values inirreducible bimodules. They turn out to be either ordinary derivations ($delta= 1$), or scalar multiples of the identity map ($delta = frac 12$). This canbe considered as a generalization of the "First Whitehead Lemma" for Jordanalgebras which claims that all such ordinary derivations are inner. The proofamounts to simple calculations in matrix algebras, or, in the case of Jordanalgebras of a symmetric bilinear form, to more elaborated calculations inClifford algebras.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

R - Projekt Ramcoveho programu EK

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Communications in Mathematics

ISSN

1804-1388

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

13

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85195613108