Yang–Baxter deformations and rack cohomology

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Yang–baxter Deformations and Rack Cohomology

Abstract. In his study of quantum groups, Drinfeld suggested to consider set-theoretic solutions of the Yang–Baxter equation as a discrete analogon. As a typical example, every conjugacy class in a group, or more generally every rack Q provides such a Yang–Baxter operator cQ : x ⊗ y 7→ y ⊗ x . In this article we study deformations of cQ within the space of Yang–Baxter operators. Over a complete...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2014

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-2014-05785-1