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2008

The Nichols algebra of a semisimple Yetter-Drinfeld module

Andruskiewitsch, N., Heckenberger, I., Schneider, H. -J.

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We study the Nichols algebra of a semisimple Yetter-Drinfeld module and introduce new invariants such as real roots.

The crucial ingredient is a `reflection' in the class of such Nichols algebras.
We conclude the classifications of finite-dimensional pointed Hopf algebras over S_3, and of finite-dimensional Nichols algebras over S_4.
The revised version contains an extended introduction with references to recent applications, and a simplified definition of the Weyl groupoid of a semisimple Yetter-Drinfeld module.

The Nichols algebra of a semisimple Yetter-Drinfeld module · Around

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by same author, Crossed products by braided groups and bosonization
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