Yang–Baxter deformations of quandles and racks

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Yang-Baxter deformations of quandles and racks

Given a rack Q and a ring A , one can construct a Yang-Baxter operator cQ : V ⊗ V → V ⊗ V on the free A-module V = AQ by setting cQ(x ⊗ y) = y ⊗ x y for all x, y ∈ Q . In answer to a question initiated by D.N.Yetter and P.J. Freyd, this article classifies formal deformations of cQ in the space of Yang-Baxter operators. For the trivial rack, where x = x for all x, y , one has, of course, the cla...

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ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2005

ISSN: 1472-2739,1472-2747

DOI: 10.2140/agt.2005.5.537