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Quantum algebra

From Wikipedia, the free encyclopedia

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:

See also

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References

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  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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