Restricted L_infinity-algebras
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201909201996
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201909201996
Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Prof. Dr. Markus Spitzweck | ger |
| dc.creator | Heine, Hadrian | - |
| dc.date.accessioned | 2019-09-20T08:27:36Z | - |
| dc.date.available | 2019-09-20T08:27:36Z | - |
| dc.date.issued | 2019-09-20T08:27:36Z | - |
| dc.identifier.uri | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201909201996 | - |
| dc.description.abstract | We give a model of restricted L_infinity-algebras in a nice preadditive symmetric monoidal infinity-category C as an algebra over the monad associated to an adjunction between C and the infinity-category of cocommutative bialgebras in C, where the left adjoint lifts the free associative algebra. If C is additive, we construct a canonical forgetful functor from restricted L_infinity-algebras in C to spectral Lie algebras in C and show that this functor is an equivalence if C is a Q-linear stable infinity-category. For every field K we construct a canonical forgetful functor from restricted L_infinity-algebras in connective K-module spectra to the infinity-category underlying a model structure on simplicial restricted Lie algebras over K. | ger |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Germany | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/de/ | * |
| dc.subject | Lie algebra | eng |
| dc.subject.ddc | 510 - Mathematik | ger |
| dc.title | Restricted L_infinity-algebras | ger |
| dc.type | Dissertation oder Habilitation [doctoralThesis] | - |
| thesis.location | Osnabrück | - |
| thesis.institution | Universität | - |
| thesis.type | Dissertation [thesis.doctoral] | - |
| thesis.date | 2019-02-01 | - |
| dc.contributor.referee | Prof. Dr. Thomas Nikolaus | ger |
| dc.subject.bk | 31.61 - Algebraische Topologie | ger |
| dc.subject.msc | 55-02 - Research exposition | ger |
| Appears in Collections: | FB06 - E-Dissertationen | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thesis_heine.pdf | Präsentationsformat | 1,69 MB | Adobe PDF | thesis_heine.pdf  View/Open |
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