Bicrossproduct Hopf Superalgebras and $D=4$ $κ$-deformed Poincaré Supergroup.

Abstract

The general framework of bicrossproduct Hopf algebras given by Majid is extended to $Z_2$-graded bicrossproduct Hopf superalgebras. As examples of bicrossproduct Hopf superalgebras we provide the graded algebras of functions on undeformed as well as $κ$-deformed $D=4$ Poincaré supergroups.

11 pages Latex, mssymb