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math.CT2013
R-Matrices, Yetter-Drinfeld Modules and Yang-Baxter Equation
Victoria Lebed
In the first part we recall two famous sources of solutions to the Yang-Baxter equation -- R-matrices and Yetter-Drinfeld (=YD) modules -- and an interpretation of the former as…
math.QA2013
Braided Systems: a Unified Treatment of Algebraic Structures with Several Operations
Victoria Lebed
Bialgebras and Hopf (bi)modules are typical algebraic structures with several interacting operations. Their structural and homological study is therefore quite involved. We develop…