(A class of) Hodge duality operators over the quantum SU(2)
Alessandro Zampini
TL;DR
This paper introduces a new class of Hodge duality operators on the exterior algebra of quantum SU(2) using sesquilinear contraction maps, comparing them with existing formulations.
Contribution
It presents a novel approach to defining Hodge duality operators on quantum SU(2) via sesquilinear contractions, expanding the mathematical framework.
Findings
New class of metrics and Hodge duality operators introduced
Comparison with previous formulations in the literature
Enhanced understanding of quantum SU(2) geometric structures
Abstract
On the exterior algebra over the quantum SU(2) coming from the four dimensional bicovariant calculus \`a la Woronowicz we introduce, using sesquilinear contraction maps, a class of metrics and Hodge duality operators, and compare this formulation with the previous ones presented in the literature.
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