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Quantum Algebra, Algebraic Topology, CT and Quantum Logics
editAbelian and Nonabelian Structures in Algebraic Mathematics
edit- Algebraic Logic
- Boolean logic
- Algebraic logic
- Łukasiewicz logic
- Intuitionistic logic
- Mathematical logic
- Heyting arithmetic
- Symbolic logic
- Metatheory
- Metalogic
- Quantum Logics and Quantum Computers
- Multi-valued logic
- Quantum logic
- Quantum computer
- Abstract Algebra
- Abstract algebra
- Universal algebra
- Heyting algebra
- MV-algebra
- Group algebra
- Lie algebra
- Lie group
- Algebroid
- Quantum Algebra and Standard Model
- Quantum algebra
- Quantum affine algebra
- Clifford algebra
- Von Neumann algebra
- C*-algebra
- Affine Lie algebra
- Kac–Moody algebra
- Hopf algebra
- Quantum group
- Affine quantum group
- Group representation
- Unitary representation
- Representation theory of the Lorentz group
- Stone–von Neumann theorem
- Peter–Weyl theorem
- Quasi-Hopf algebra
- Quantum double
- Quasitriangular Hopf algebra
- Ribbon Hopf algebra
- Quasi-triangular Quasi-Hopf algebra
- Quantum inverse scattering method
- Grassmann algebra
- Supergroup
- Superalgebra
- Yangian
- Standard Model
- Noncommutative quantum field theory
- Noncommutative standard model
- Noncommutative geometry
- Algebraic Topology, Group Theory and Groupoids
- Algebraic topology
- Groupoid
- Group theory
- Abelian group
- Galois group
- Grothendieck group
- Esquisse d'un Programme
- Galois theory
- Grothendieck's Galois theory
- Galois cohomology
- Homological algebra
- Homology theory
- Homotopical algebra
- Cohomology theory
- K-theory
- Algebraic K-theory
- Topological K-theory
- Category Theory
- Category theory
- Category (mathematics)
- Glossary of category theory
- Dual (category theory)
- Abelian category
- Functor
- Yoneda lemma
- Limit (category theory)
- Adjoint functors
- Natural transformations
- Algebraic category
- Domain theory
- Enriched category theory
- Topos
- Descent (category theory)
- Stack (descent theory)
- Categorical logic
- Timeline of category theory and related mathematics
- List of important publications in mathematics
- Higher Dimensional Algebras (HDA)
- Higher-dimensional algebra
- Higher category theory
- Duality (mathematics)