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Braid semistatistics and doubly regular R-matrix

S. Duplij·W. Marcinek
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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.

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S. Duplij, W. Marcinek. 2004-03-22. Braid semistatistics and doubly regular R-matrix. https://arxiv.org/abs/math/0403343

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