Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples

Details Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples

2004-02-22

arxiv.org/abs/math/0402350v2

Mathematics

Quantum Algebra

Abstract and introduction modified, one example added; Latex2e, 36 pages, 24 figures

Scientific paper

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

Affiliated with

Also associated with

No associations

Rating

Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283271