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
Title: | Restricted L_infinity-algebras |
Authors: | Heine, Hadrian |
Thesis advisor: | Prof. Dr. Markus Spitzweck |
Thesis referee: | Prof. Dr. Thomas Nikolaus |
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. |
URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201909201996 |
Subject Keywords: | Lie algebra |
Issue Date: | 20-Sep-2019 |
License name: | Attribution-NonCommercial-NoDerivs 3.0 Germany |
License url: | http://creativecommons.org/licenses/by-nc-nd/3.0/de/ |
Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
File | Description | Size | Format | |
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thesis_heine.pdf | Präsentationsformat | 1,69 MB | Adobe PDF | thesis_heine.pdf View/Open |
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