English

Algebras over Cobar(coFrob)

Quantum Algebra 2009-09-25 v2

Abstract

We show that a square zero, degree one element in W(V), the Weyl algebra on a vector space V, is equivalent to providing V with the structure of an algebra over the properad Cobar(coFrob), the properad arising from the cobar construction applied to the cofrobenius coproperad.

Keywords

Cite

@article{arxiv.0807.1241,
  title  = {Algebras over Cobar(coFrob)},
  author = {Gabriel C. Drummond-Cole and John Terilla and Thomas Tradler},
  journal= {arXiv preprint arXiv:0807.1241},
  year   = {2009}
}

Comments

24 pages, revised version

R2 v1 2026-06-21T10:58:30.547Z