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In mathematics, quantum algebra is the study of noncommutative analogues and generalizations of commutative algebras, especially those arising in Lie theory. [1] . It is one of the top-level mathematics categories used by the arXiv, and is a unification of algebraic deformations, Hopf algebras, category theory, topology, noncommutative geometry, and quantum groups within quantum mechanics and quantum field theory. [2] [3] [4]
Subjects include: