Super solutions of the dynamical Yang-Baxter equation

Gizem Karaali
2006 Proceedings of the American Mathematical Society  
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 In this paper we classify super dynamical r−matrices with zero weight. Received by the editors March 31, 2005. 2000 Mathematics Subject Classification. Primary 17B37. Key words and phrases. Dynamical r−matrices, the dynamical Yang-Baxter equation, Lie superalgebras. 1 A different method of quantization, by
more » ... antization, by Etingof and Kazhdan, has been generalized to the super setting; see [7] . However, this is a less constructive technique and does not fully answer our questions.
doi:10.1090/s0002-9939-06-08495-4 fatcat:4tmamyin4zcu7dignbyfgdfdum