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:
Note also that(QA.1) and(QA.2) imply(QA.3):
(QA.3)
Remark Quasitriangular Hopf algebras are a basic source of quantum algebras.
As of this snapshot date, this entry was owned by bci1.