Mathematics – Quantum Algebra
Scientific paper
2006-05-31
Mathematics
Quantum Algebra
67 pages (incl. 21 pages appendix), many figures
Scientific paper
Arithmetic root systems are invariants of Nichols algebras of diagonal type with a certain finiteness property. They can also be considered as generalizations of ordinary root systems with rich structure and many new examples. On the other hand, Nichols algebras are fundamental objects in the construction of quantized enveloping algebras, in the noncommutative differential geometry of quantum groups, and in the classification of pointed Hopf algebras by the lifting method of Andruskiewitsch and Schneider. In the present paper arithmetic root systems are classified in full generality. As a byproduct many new finite dimensional pointed Hopf algebras are obtained. Key Words: Hopf algebra, Nichols algebra, Weyl groupoid
No associations
LandOfFree
Classification of arithmetic root systems 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 Classification of arithmetic root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of arithmetic root systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-711426