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Braid semistatistics and doubly regular R-matrix | | S. Duplij
; W. Marcinek
; | | Date: |
22 Mar 2004 | | Journal: | Published in W. Marcinek Memorial Volume of Kharkov University Journal Vestnik KNU, ser. "Nuclei, particles and fields". - 2003. - V. 601. - N 2(22). - p. 75-80 | | Subject: | Quantum Algebra; Category Theory; Mathematical Physics; Other | math.QA cond-mat.other hep-th math-ph math.CT math.MP quant-ph | | Affiliation: | Kharkov National University) and W. Marcinek (University of Wroclaw | | 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. | | Source: | arXiv, math.QA/0403343 | | Services: | Forum | Review | PDF | Favorites | |
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