Quantum algebra
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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.. 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.
Subjects include:
- Quantum groups
- Skein theories
- Operadic algebra
- Diagrammatic algebra
- Quantum field theory
- Racks and quandles
See also
- Coherent states in mathematical physics
- Glossary of areas of mathematics
- Mathematics Subject Classification
- Ordered type system, a substructural type system
- Outline of mathematics
- Quantum logic