Braid semistatistics and doubly regular R-matrix
Quantum Algebra
2007-05-23 v1 Other Condensed Matter
High Energy Physics - Theory
Mathematical Physics
Category Theory
math.MP
Quantum Physics
Abstract
We introduce "noninvertible" generalization of statistics - semistatistics replacing condition when double exchanging gives identity to "regularity" condition. Then in categorical language we correspondingly generalize braidings and the quantum Yang-Baxter equation. We define the doubly regular R-matrix and introduce obstructed regular bialgebras.
Cite
@article{arxiv.math/0403343,
title = {Braid semistatistics and doubly regular R-matrix},
author = {S. Duplij and W. Marcinek},
journal= {arXiv preprint arXiv:math/0403343},
year = {2007}
}
Comments
13 pages, AmSLaTeX2e, see W. Marcinek (1952-2003) Memorial Page at http://www.math.uni-mannheim.de/~duplij/marcinek