G-algebroids: A unified framework for exceptional and generalised geometry, and Poisson-Lie duality

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00618010" target="_blank" >RIV/68378271:_____/21:00618010 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10443969
Result on the web
<a href="https://hdl.handle.net/11104/0364830" target="_blank" >https://hdl.handle.net/11104/0364830</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/prop.202100028" target="_blank" >10.1002/prop.202100028</a>

Result language
angličtina
Original language name
G-algebroids: A unified framework for exceptional and generalised geometry, and Poisson-Lie duality
Original language description
We introduce the notion of ‐algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used in exceptional generalised geometry for . Focusing on the exceptional case, we prove a classification of “exact” algebroids and translate the related classification of Leibniz parallelisable spaces into a tractable algebraic problem. After discussing the general notion of Poisson–Lie duality, we show that the Poisson–Lie U‐duality is compatible with the equations of motion of supergravity.
Czech name
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Czech description
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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
10303 - Particles and field physics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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