From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127402" target="_blank" >RIV/00216208:11320/12:10127402 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.geomphys.2012.09.002" target="_blank" >http://dx.doi.org/10.1016/j.geomphys.2012.09.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2012.09.002" target="_blank" >10.1016/j.geomphys.2012.09.002</a>
Alternative languages
Result language
angličtina
Original language name
From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets
Original language description
Let g be a simplicial Lie algebra with Moore complex Ng of length k. Let G be the simplicial Lie group integrating g, such that each G(n) is simply connected. We use the 1-jet of the classifying space (W) over barG to construct, starting from g, a Lie k-algebra L. The so constructed Lie k-algebra L is actually a differential graded Lie algebra. The differential and the brackets are explicitly described in terms (of a part) of the corresponding k-hypercrossed complex structure of Ng. The result can be seen as a geometric interpretation of Quillen's (purely algebraic) construction of the adjunction between simplicial Lie algebras and dg-Lie algebras. (C) 2012 Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
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 Geometry and Physics
ISSN
0393-0440
e-ISSN
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Volume of the periodical
62
Issue of the periodical within the volume
12
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
12
Pages from-to
2389-2400
UT code for WoS article
000312362000007
EID of the result in the Scopus database
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