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math.QA2026
Proof of Rump's Retraction Conjecture for Quasilinear Cycle Sets
Carsten Dietzel
Nondegenerate cycle sets were introduced by Rump as an algebraic framework for nondegenerate, involutive solutions to the Yang--Baxter equation. Nondegenerate cycle set structures…
math.GR2026
Non-degeneracy of Killing forms on real conjugacy classes of finite groups
Carsten Dietzel, Charlotte Roelants
Killing forms on finite groups arise as special cases of braided Killing forms on braided Lie algebras. If is a conjugation-stable subset of a finite group , the K…