Homology, Homotopy and Applications
Volume 7 (2005)
Proceedings of a Special Session of a Joint RSME-AMS Meeting at Sevilla University
Free homotopy algebras
Pages: 123 – 137
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.
free algebra, $A(m)$-algebra, $L(m)$-algebra, PBW theorem
2010 Mathematics Subject Classification
Primary 18D50. Secondary 17B35.