Turkish Journal of Mathematics, vol.45, no.1, pp.346-359, 2021 (SCI-Expanded)
© TÜBİTAK In this paper, we introduce nonstandard deformations of (1+2)− and (2+1)−superspaces via a contractionusing standard deformations of them. This deformed superspaces are denoted by A1|2 h and A2|1 h′, respectively. We find a two-parameter R-matrix satisfying quantum Yang–Baxter equation and thus obtain a new two-parameter nonstandard deformation of the supergroup GL(1|2). Finally, we get a new superalgebra derived from the Hopf superalgebra of functions on the quantum superspace A1|2 p,q.