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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.]

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

Citations:

Zbl 0741.00068
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