We classify super dynamical r-matrices with zero weight, thus extending
earlier results of Etingof and Varchenko to the graded case

Karaali, Gizem

English

arXiv

Solutions of the classical dynamical Yang-Baxter equation on a Lie superalgebra are called super dynamical r−matrices. A super dynamical r−matrix r satisfies the zero weight condition if
[h ⊗ 1 + 1 ⊗ h, r(λ)] = 0 for all h ∈ ɧ, λ ∈ ɧ ∗ .
In this paper we classify super dynamical r−matrices with zero weight

Super Solutions of the Dynamical Yang-Baxter Equation

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