Free homotopy algebras

Martin Markl

doi:hha/1139839378

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Home > Journals > Homology Homotopy Appl. > Volume 7 > Issue 2 > Article

2005 Free homotopy algebras

Martin Markl

Homology Homotopy Appl. 7(2): 123-137 (2005).

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Abstract

An explicit description of free strongly homotopy associative and free strongly homotopy Lie algebras is given. A variant of the Poincaré-Birkhoff-Witt theorem for the universal enveloping A($m$)-algebra of a strongly homotopy Lie algebra is formulated.