Home | Quick Search | Advanced Search | Bibliography submission | Bibliography submission using bibtex | Bibliography submission using bibtex file | Links | Help | Internal

Details:

   
TitleOperadic Gr\"obner bases: an implementation.
Author(s) Vladimir Dotsenko, Mikael Vejdemo-Johansson
TypeBook, Chapter in Book, Conference Proceeding
AbstractIn an upcoming paper [1], the first author and Anton Khoroshkin define the concept of a Gröbner basis for finitely presented operads, prove the diamond lemma for these Gröbner bases, and demonstrate that having a quadratic Gröbner basis is equivalent to the existence of a Poincaré-Birkhoff-Witt basis. As demonstrated by Eric Hoffbeck [2], an operad with a PBW basis is Koszul. Thus, out of this emerges an entirely computational framework for proving Koszulness, as well as the possibility to build tools for exploration of operads by means of explicit calculation.
ISBN978-3-642-15581-9/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-642-15582-6_42
LanguageEnglish
Pages249--252
PublisherBerlin: Springer
Year2010
Edition0
Translation No
Refereed No
Webmaster