3 papers
math.QA2005
Super Solutions of the Dynamical Yang-Baxter Equation
Gizem Karaali
We classify super dynamical r-matrices with zero weight, thus extending earlier results of Etingof and Varchenko to the graded case.
math.RA2004
A New Lie Bialgebra Structure on sl(2,1)
Gizem Karaali
We describe the Lie bialgebra structure on the Lie superalgebra sl(2,1) related to an r-matrix that cannot be obtained by a Belavin-Drinfeld type construction. This structure makes…
math.QA2003
Constructing r-matrices on simple Lie superalgebras
Gizem Karaali
We construct r-matrices for simple Lie superalgebras with non-degenerate Killing forms using Belavin-Drinfeld type triples. This construction gives us the standard r-matrices and s…