1996•Journal of Mathematical PhysicsRequires access

Bicrossproduct Hopf superalgebras and D=4 κ-deformed Poincaré supergroup

Piotr Kosiński, J. Lukierski, Paweł Maślanka, Jan T. Sobczyk

Abstract

The general framework of bicrossproduct Hopf algebras given by Majid is extended to Z2-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.

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Key concepts: Supergroup, Hopf algebra, Mathematics, Pure mathematics, Quantum group, Poincaré conjecture, Algebra over a field, Geology