Braid semistatistics and doubly regular R-matrix
Duplij, S. · Marcinek, W.
Quantum Algebra
Other Condensed Matter
High Energy Physics - Theory
Mathematical Physics
Category Theory
Quantum Physics
Original · EN
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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