Deformation of $L_\infty$-Algebras
SCHUHMACHER, Frank
HAL, hal-00114924 / Harvested from HAL
Text on HAL
In this paper, deformations of $L_\infty$-algebras are defined in such a way that the bases of deformations are $L_\infty$-algebras, as well. A universal and a semiuniversal deformation is constructed for $L_\infty$-algebras, whose cotangent complex admits a splitting. The paper also contains an explicit construction of a minimal $L_\infty$-structure on the homology $H$ of a differential graded Lie algebra $L$ and of an $L_\infty$-quasi-isomorphism between $H$ and $L$.
Publié le : 2004-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00114924,
     author = {SCHUHMACHER, Frank},
     title = {Deformation of $L\_\infty$-Algebras},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00114924}
}

SCHUHMACHER, Frank. Deformation of $L_\infty$-Algebras. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00114924/