%0 Generic %1 citeulike:84414 %A Heckenberger, I. %D 2004 %K algebras diagonal nichols %T Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples %U http://arxiv.org/abs/math.QA/0402350 %X 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. Together with the continuation of this paper this gives an answer to a question of Andruskiewitsch. Key Words: Hopf algebra, Lyndon words, full binary tree

@misc{citeulike:84414, abstract = {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 Poincar\'e--Birkhoff--Witt basis of all of these Nichols algebras is given and their dimension is computed. Together with the continuation of this paper this gives an answer to a question of Andruskiewitsch. Key Words: Hopf algebra, Lyndon words, full binary tree}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Heckenberger, I.}, biburl = {https://www.bibsonomy.org/bibtex/26a9c0e5571065355b57812bdb418b14c/a_olympia}, citeulike-article-id = {84414}, description = {citeulike}, eprint = {math.QA/0402350}, interhash = {05e7d111b910b05fbe8c90f7c3ef9c90}, intrahash = {6a9c0e5571065355b57812bdb418b14c}, keywords = {algebras diagonal nichols}, month = {April}, priority = {2}, timestamp = {2007-08-18T13:22:54.000+0200}, title = {Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples}, url = {http://arxiv.org/abs/math.QA/0402350}, year = 2004 }