Cohomology of Drinfel'd algebras: A General Nonsense Approach

Details Cohomology of Drinfel'd algebras: A General Nonsense Approach Cohomology of Drinfel'd algebras: A General Nonsense Approach

1995-05-02

arxiv.org/abs/q-alg/9505002v1

Mathematics

Quantum Algebra

LaTeX, article 12pt style, 12 pages

Scientific paper

In our paper [Markl, Shnider: Drinfel'd Algebra Deformations and the Associahedra, IMRN 1994, no. 4, 169-176] we announced a construction of a cohomology controlling deformations of quasi-coassociative (or Drinfel'd) bialgebras. The full version of the paper will appear as [Markl, Shnider: Drinfel'd Algebra Deformations, Homotopy Comodules and the Associahedra] in Trans. Amer. Math. Soc. The construction in the paper was based on very explicit arguments using deep combinatorial properties of the associahedra. The present paper gives an alternative, general nonsense approach to the construction. So, we just prove the existence of such a cohomology without explicitly constructing it. This should be compared with the two approaches to the cohomology of associative algebras: we either describe explicitly the Hochschild complex and say "Behold! this is the cohomology" or we prove the existence of a projective resolution and define the cohomology as the derived functor.

Affiliated with

Also associated with

No associations

Rating

Cohomology of Drinfel'd algebras: A General Nonsense Approach 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 Cohomology of Drinfel'd algebras: A General Nonsense Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of Drinfel'd algebras: A General Nonsense Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419205