Braid semistatistics and doubly regular R-matrix

Details Braid semistatistics and doubly regular R-matrix Braid semistatistics and doubly regular R-matrix

2004-03-22

arxiv.org/abs/math/0403343v1

Published in W. Marcinek Memorial Volume of Kharkov University Journal Vestnik KNU, ser. "Nuclei, particles and fields". - 200

Mathematics

Quantum Algebra

13 pages, AmSLaTeX2e, see W. Marcinek (1952-2003) Memorial Page at http://www.math.uni-mannheim.de/~duplij/marcinek

Scientific paper

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.

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