Finite dimensional rank 2 Nichols algebras of diagonal type I : Examples
نویسنده
چکیده
Nichols algebras naturally appear in the classification of finite dimensional pointed Hopf algebras. Assuming only that the base field has characteristic zero several new finite dimensional rank 2 Nichols algebras of diagonal type are listed. Each of them is described in terms of generators and relations. A Poincaré–Birkhoff–Witt basis of all of these Nichols algebras is given and their dimension is computed. In a forthcoming paper it will be shown that the given list is complete.
منابع مشابه
Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic
The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
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