Restricted L_infinity-algebras

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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://repositorium.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

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