## Quantum Groups by Christian Kassel (auth.)

By Christian Kassel (auth.)

This ebook offers an advent to the speculation of quantum teams with emphasis at the astonishing connections with knot conception and on Drinfeld's fresh primary contributions. the 1st half offers intimately the quantum teams hooked up to SL2 in addition to the fundamental thoughts of the speculation of Hopf algebras. half specializes in Hopf algebras that produce options of the Yang-Baxter equation, and on Drinfeld's quantum double development. within the following half we build isotopy invariants of knots and hyperlinks within the third-dimensional Euclidean house, utilizing the language of tensor different types. The final half is an account of Drinfeld's stylish remedy of the monodromy of the Knizhnik-Zamolodchikov equations, culminating within the building of Kontsevich's common knot invariant.