Tetramodules over a bialgebra form a 2-fold monoidal category
Category Theory
2012-02-10 v1 K-Theory and Homology
Quantum Algebra
Abstract
This preprint contains a part of the results of our earlier preprint arXiv:0907.3335v2 presented in a form suitable for journal publication. It covers a construction of a 2-fold monoidal structure on the category of tetramodules, with all necessary definitions, and an overview of the results of R.Taillefer [Tai1,2] on tetramodules and the Gerstenhaber-Schack cohomology [GS] (formerly served as Appendix in arXiv:0907.3335v2), as well as a computation of the Gerstenhaber-Schack cohomology for the free commutative cocommutative bialgebra S(V), for a V is a vector space.
Cite
@article{arxiv.1202.1938,
title = {Tetramodules over a bialgebra form a 2-fold monoidal category},
author = {Boris Shoikhet},
journal= {arXiv preprint arXiv:1202.1938},
year = {2012}
}
Comments
20 pages. arXiv admin note: significant text overlap with arXiv:0907.3335