From RotaBaxter Algebras to PreLie Algebras
Abstract
RotaBaxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. RotaBaxter algebras provide a construction of preLie algebras from associative algebras. In this paper, we give all RotaBaxter operators of weight 1 on complex associative algebras in dimension $\leq 3$ and their corresponding preLie algebras.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.1389
 Bibcode:
 2007arXiv0711.1389A
 Keywords:

 Mathematical Physics;
 Mathematics  Quantum Algebra;
 17B;
 81R
 EPrint:
 23 pages, appear in Journal of Physics A