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Algebraic-Quantum Topology, Category Theory and Higher Dimensional Algebra v14

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Quantum Algebra, Algebraic Logic, Quantum Computers, Algebraic Topology, Category Theory, QFT and HDAv14

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Algebraic Logic
Boolean logic
Algebraic logic
Łukasiewicz logic
Mathematical logic
Symbolic logic
Metatheory
Metalogic
Quantum Logics and Quantum Computers
Multi-valued logic
Quantum logic
Quantum computer
Quantum information
Abstract Algebra
Abstract algebra
Universal algebra
Heyting algebra
MV-algebra
Group theory
Group algebra
Abelian group
Galois group
Grothendieck group
Esquisse d'un Programme
Galois theory
Grothendieck's Galois theory
Lie algebra
Affine Lie algebra
Lie group


Quantum Algebra and Geometry
Quantum mechanics
Quantum field theory
Quantum algebra
Quantum affine algebra
Clifford algebra
Hilbert space
Spectral theory
Von Neumann algebra
C*-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
Yangian
Grassmann algebra
Superalgebra
Supergroup
Noncommutative quantum field theory
Noncommutative standard model
Noncommutative geometry
Algebraic Topology, Group Theory and Groupoids
Algebraic topology
Groupoid
Algebroid
Van Kampen's theorem
Whitehead's theorem
Hurewicz theorem
Kunneth theorem
Poincaré duality
Galois cohomology
Homological algebra
Homology theory
Homotopical algebra
Crystalline cohomology
De Rham cohomology
Cohomology theory
Algebraic K-theory
Topological K-theory
Category Theories
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)