Stasheff, Jim Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras. (English) Zbl 0758.17010 Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 120-137 (1992). In this expository paper some connections are summarized between quasi-Hopf algebras, differential graded algebras, string theory, convolution algebras, homological perturbation theory and deformations of algebras.[For the entire collection see Zbl 0741.00068.] Reviewer: Alice Fialowski (Budapest) Cited in 1 ReviewCited in 35 Documents MSC: 17B70 Graded Lie (super)algebras 16T20 Ring-theoretic aspects of quantum groups 16S80 Deformations of associative rings 17B37 Quantum groups (quantized enveloping algebras) and related deformations 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory Keywords:quasi-Hopf algebras; differential graded algebras; string theory; convolution algebras; homological perturbation; deformations Citations:Zbl 0741.00068 PDFBibTeX XMLCite \textit{J. Stasheff}, Lect. Notes Math. 1510, 120--137 (1992; Zbl 0758.17010) Full Text: DOI