TL;DR
This paper develops the theory of integral forms on the quantum Euclidean group $E_q(2)$ and the quantum plane, establishing their isomorphisms with de Rham complexes in the context of quantum groups.
Contribution
It introduces complexes of integral forms on $E_q(2)$ and the quantum plane and proves their isomorphism with de Rham complexes, advancing quantum differential geometry.
Findings
Integral forms on $E_q(2)$ and quantum plane are constructed.
Isomorphisms with de Rham complexes are established.
Provides a foundation for quantum differential calculus on $E_q(2)$.
Abstract
The complexes of integral forms on the quantum Euclidean group and the quantum plane are defined and their isomorphisms with the corresponding de Rham complexes are established.
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