Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.
Set-Theoretical So- lutions to the Quantum Yang-Baxter Equation
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Proves irreducibility of monomial representations equivalent to indecomposability of set-theoretic YBE solutions (except Dehornoy class two) and shows induction from one-dimensional representations.
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Involutive (simple) latin solutions of the Yang-Baxter equation and related (left) quasigroups
Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.
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On Dehornoy's representation for the Yang-Baxter equation
Proves irreducibility of monomial representations equivalent to indecomposability of set-theoretic YBE solutions (except Dehornoy class two) and shows induction from one-dimensional representations.