User:Waterbug89/Books/Quantum Algebra and Quantum Computers

Abelian and Non-Abelian Structures in Algebraic Mathematics

 * Algebraic Logic
 * Boolean logic
 * Algebraic logic
 * Łukasiewicz logic
 * Intuitionistic logic
 * Mathematical logic
 * Heyting arithmetic
 * Metatheory
 * Metalogic


 * Quantum Logics and Quantum Computers
 * Multi-valued logic
 * Quantum logic
 * Quantum computer


 * Quantum Algebra and Standard Model
 * Quantum affine algebra
 * Clifford algebra
 * Von Neumann algebra
 * C*-algebra
 * Affine Lie algebra
 * Kac–Moody algebra
 * Hopf algebra
 * Quantum group
 * Group representation
 * Unitary representation
 * Representation theory of the Lorentz group
 * Stone–von Neumann theorem
 * Peter–Weyl theorem
 * Quasi-Hopf algebra
 * Quasitriangular Hopf algebra
 * Ribbon Hopf algebra
 * Quasi-triangular Quasi-Hopf algebra
 * Quantum inverse scattering method
 * Exterior algebra
 * Supergroup
 * Superalgebra
 * Yangian
 * Standard Model
 * Noncommutative quantum field theory
 * Noncommutative standard model
 * Noncommutative geometry


 * Abstract Algebra
 * Abstract algebra
 * Universal algebra
 * Heyting algebra
 * MV-algebra
 * Group algebra
 * Lie algebra
 * Lie group
 * Lie algebroid


 * 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
 * Homotopical algebra
 * Cohomology theory
 * K-theory
 * Algebraic K-theory
 * Topological K-theory


 * Category Theory
 * Category theory
 * Category
 * Dual
 * Abelian category
 * Functor
 * Yoneda lemma
 * Limit
 * Adjoint functors
 * Natural transformation
 * Variety
 * Domain theory
 * Enriched category
 * Topos
 * Descent
 * Stack
 * Categorical logic


 * Higher Dimensional Algebras
 * Higher-dimensional algebra
 * Higher category theory
 * Duality