The Jordanian Bicovariant Differential Calculus

TL;DR

This paper demonstrates that a specific Woronowicz construction for bicovariant differential calculus, when applied with certain bimodule structures, results in a trivial calculus, highlighting limitations in this approach.

Contribution

It reveals that the Woronowicz prescription with a tensorial bimodule and bi-coinvariant singlet yields a trivial differential calculus, indicating a need for alternative methods.

Findings

Woronowicz prescription can produce trivial calculus with certain bimodules

Tensorial bimodule construction leads to trivial differential calculus

Highlights limitations of current bicovariant calculus approaches

Abstract

We show that the Woronowicz prescription using a bimodule constructed out of a tensorial product of a bimodule and its conjugate and a bi-coinvariant singlet leads to a trivial differential calculus.