Book “Quantum Algebra, Quantum Logics, Algebraic Logic, Quantum Computers and Algebraic Mathematics”
Title:
Quantum Algebra, Quantum Logics, Algebraic Logic, Quantum Computers and Algebraic Mathematics
Subtitle:
Abelian and Non-Abelian Structures in Algebraic Mathematics
Editor:
By Wikipedians
Language:
English
Wiki page:
Book:Quantum Algebra and Quantum Computers
Contents:
- Chapter: Algebraic Logic
- Boolean logic
- Algebraic logic
- Łukasiewicz logic
- Intuitionistic logic
- Mathematical logic
- Heyting arithmetic
- Symbolic logic
- Metatheory
- Metalogic
- Chapter: Quantum Logics and Quantum Computers
- Multi-valued logic
- Quantum logic
- Quantum computer
- Chapter: 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
- Chapter: Abstract Algebra
- Abstract algebra
- Universal algebra
- Heyting algebra
- MV-algebra
- Group algebra
- Lie algebra
- Lie group
- Algebroid
- Chapter: 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
- Chapter: Category Theory
- Category theory
- Category
- Dual
- Abelian category
- Functor
- Yoneda lemma
- Limit
- Adjoint functors
- Natural transformations
- Algebraic category
- Domain theory
- Enriched category theory
- Topos
- Descent
- Stack
- Categorical logic
- Chapter: Higher Dimensional Algebras (HDA)
- Higher-dimensional algebra
- Higher category theory
- Duality