Coadditive differential complexes on quantum groups and quantum spaces
A. A. Vladimirov
TL;DR
This paper introduces a systematic method to define additive coproducts on q-deformed differential complexes for quantum groups and spaces, providing new examples of braided coadditive differential bialgebras.
Contribution
It proposes a regular approach to coaddition on q-deformed complexes and presents several new braided coadditive differential bialgebras related to Hecke-type R-matrices.
Findings
Defined a regular coaddition method for q-deformed complexes
Constructed new examples of braided coadditive differential bialgebras
Extended the framework to quantum groups and spaces with Hecke R-matrices
Abstract
A regular way to define an additive coproduct (or ``coaddition'') on the q-deformed differential complexes is proposed for quantum groups and quantum spaces related to the Hecke-type R-matrices. Several examples of braided coadditive differential bialgebras (Hopf algebras) are presented.
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