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Algebraic Quantum Topology, Quantum Field Theory and SUSY
editAlgebraic Logic, Quantum Algebra, Algebraic Topology, Higher Dimensional Algebra
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 information
- Quantum logic
- Quantum computer
- Abstract Algebra and Algebraic Topology
- Abstract algebra
- Universal algebra
- Heyting algebra
- MV-algebra
- Group theory
- Abelian group
- Galois group
- Grothendieck group
- Grothendieck topology
- Esquisse d'un Programme
- Galois theory
- Grothendieck's Galois theory
- Group algebra
- Lie algebra
- Lie group
- Algebraic topology
- Topological space
- Algebroid
- Groupoid
- Galois cohomology
- Homological algebra
- Homology group
- Homology theory
- Cohomology theory
- Homotopy theory
- Homotopical algebra
- Homotopy group
- Fundamental group
- Riemann surface
- Complex manifold
- Kähler–Einstein metric
- Riemann–Roch theorem
- Seifert–van Kampen theorem
- K-theory
- Algebraic K-theory
- Topological K-theory
- Quantum Algebra and Standard Model(s)
- Quantum algebra
- Quantum affine algebra
- Operator algebra
- Self-adjoint operators
- Clifford algebra
- Distribution (mathematics)
- Hilbert space
- Spectral theory
- Von Neumann algebra
- Quantum mechanics
- Schrödinger equation
- Dirac equation
- Klein–Gordon equation
- Rigged Hilbert space
- Quantum field theory
- List of quantum field theories
- Scalar field theory
- Yang–Mills theory
- Quantum gauge theory
- Topological quantum field theory
- Noncommutative quantum field theory
- Quantum gravity
- Quantum statistical mechanics
- Quantum thermodynamics
- 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
- Higher Dimensional Algebras (HDA)
- Higher-dimensional algebra
- Higher category theory
- Duality (mathematics)