Majid, Shahn Algebras and Hopf algebras in braided categories. (English) Zbl 0812.18004 Bergen, Jeffrey (ed.) et al., Advances in Hopf algebras. Conference, August 10-14, 1992, Chicago, IL, USA. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 158, 55-105 (1994). This is largely a review for algebraists of algebras and Hopf algebras in braided tensor categories including the theory of braided Tannaka-Krein- type reconstruction which starts with a tensor (= strong monoidal) functor \(F:{\mathcal C} \to {\mathcal V}\) where \({\mathcal V}\) is braided. String diagrammatic proofs are provided. Some recent developments such as a notion of braided Lie algebra, and braided differential calculus, are discussed.For the entire collection see [Zbl 0802.00021]. Reviewer: R.H.Street (North Ryde) Cited in 5 ReviewsCited in 100 Documents MSC: 18D10 Monoidal, symmetric monoidal and braided categories (MSC2010) 18D35 Structured objects in a category (MSC2010) 16W30 Hopf algebras (associative rings and algebras) (MSC2000) 57M25 Knots and links in the \(3\)-sphere (MSC2010) 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 17B37 Quantum groups (quantized enveloping algebras) and related deformations Keywords:quantum group; braided group; Hopf algebras; braided tensor categories PDFBibTeX XMLCite \textit{S. Majid}, Lect. Notes Pure Appl. Math. 158, 55--105 (1994; Zbl 0812.18004) Full Text: arXiv