Multiple noncommutative tori and Hopf algebras
Markus Debert, Mario Paschke, Andrzej Sitarz
TL;DR
This paper explores the construction of finite-dimensional Hopf algebras from quantum tori, extending the framework to multiple noncommutative tori and providing new algebraic structures.
Contribution
It introduces a generalized method for constructing Hopf algebras from quantum multiple tori, expanding the understanding of noncommutative geometric structures.
Findings
Derived Kac-Paljutkin algebras as fibrations of quantum double tori
Generalized the construction to multiple noncommutative tori
Established new connections between quantum tori and Hopf algebras
Abstract
We derive the Kac-Paljutkin finite-dimensional Hopf algebras as finite fibrations of the quantum double torus and generalize the construction for quantum multiple tori.
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