Lower central series of free algebras in symmetric tensor categories

@article{Bapat2013LowerCS,
  title={Lower central series of free algebras in symmetric tensor categories},
  author={Asilata Bapat and David J. Jordan},
  journal={Journal of Algebra},
  year={2013},
  volume={373},
  pages={299-311}
}
  • Asilata Bapat, David J. Jordan
  • Published 2013
  • Mathematics
  • Journal of Algebra
  • Abstract We continue the study of the lower central series of a free associative algebra, initiated by Feigin and Shoikhet (2007) [FS] . We generalize via Schur functors the constructions of the lower central series to any symmetric tensor category; specifically we compute the modified first quotient B ¯ 1 , and second and third quotients B 2 , and B 3 of the series for a free algebra T ( V ) in any symmetric tensor category, generalizing the main results of Feigin and Shoikhet (2007) [FS] and… CONTINUE READING