Article · Wikipedia archive · Last revised Jun 10, 2026

Quantum algebra

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.

Last revised
Jun 10, 2026
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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.234

Subjects include:

See also

See also

References

References

  1. "What is quantum algebra?". mathoverflow.net. Retrieved 2018-01-22.
  2. "Quantum Algebra". arxiv.org. Retrieved 2025-10-27.
  3. "Quantum Algebra -- from Wolfram Library Archive". library.wolfram.com. Retrieved 2025-10-27.
  4. "quantum algebra in nLab". ncatlab.org. Retrieved 2025-10-27.
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