Homomorphisms of quantum groups
Ralf Meyer, Sutanu Roy, Stanis{\l}aw Lech Woronowicz
TL;DR
This paper introduces new equivalent definitions of homomorphisms between quantum groups that are compatible with duality, using bicharacters, coactions, and universal quantum groups.
Contribution
It provides novel, equivalent frameworks for understanding quantum group homomorphisms that enhance their compatibility with duality principles.
Findings
Multiple equivalent notions of quantum group homomorphisms introduced
Definitions based on bicharacters, coactions, and universal quantum groups
Enhanced understanding of duality in quantum group homomorphisms
Abstract
We introduce some equivalent notions of homomorphisms between quantum groups that behave well with respect to duality of quantum groups. Our equivalent definitions are based on bicharacters, coactions, and universal quantum groups, respectively.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models