Hopf algebras are a broad class of mathematical objects with an almost 100 years of history and with applications in many areas in mathematics and physics. The structure of a rather general Hopf algebra is influenced to a large extent by its Nichols algebra and gives it a Lie theoretic flavor.

In the course, the basic theory of Hopf and Nichols algebras as well as the relevant algebraic and combinatorial tools are discussed. It is explained, how braided monoidal categories, generalized reflections, root systems and deformation techniques can be used to obtain structurally relevant information on Nichols algebras.

要申込： 7 月 ２６ 日（金）締切厳守！

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