Super Solutions of the Dynamical Yang-Baxter Equation
We classify super dynamical r-matrices with zero weight, thus extending earlier results of Etingof and Varchenko to the graded case.
math.QA↗
arXiv subjects
Gizem Karaali
Publications and source records attributed to Gizem Karaali.
A New Lie Bialgebra Structure on sl(2,1)
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 sl(2,1) into the Drinfeld double of a four-dimensional subalgebra.
math.RA↗
Constructing r-matrices on simple Lie superalgebras
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 some nonstandard ones.
math.QA↗