PlanetPhysics/Quantum Algebra
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A quantum algebra over a field is defined as a triple where is a Yang-Baxter algebra over the field and is an algebra isomorphism, subject to the following two axioms:
- (QA.1)
- (QA.2)
Note also that(QA.1) and(QA.2) imply(QA.3):
(QA.3) .
Remark Quasitriangular Hopf algebras are a basic source of quantum algebras.