TL;DR
This paper explores the quantum double through the lens of Hopf algebra bicrossproducts, revealing new insights into its structure as a twisting, extension, and q-Lorentz group.
Contribution
It introduces less-known results about the quantum double, emphasizing its interpretation as a twisting, extension, and q-Lorentz group within Hopf algebra theory.
Findings
Quantum double viewed as a twisting
Quantum double as an extension
Quantum double related to q-Lorentz group
Abstract
We recall the abstract theory of Hopf algebra bicrossproducts and double cross products due to the author. We use it to develop some less-well known results about the quantum double as a twisting, as an extension and as -Lorentz group.
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