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User:Non Qui/Books/Tensorial Algebra

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Tensorial Algebra

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25 à3 2014

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Glossary of tensor theory
Multilinear algebra
User:Prof McCarthy/Multilinear algebra
Berezin integral
Bilinear map
Binet–Cauchy identity
Bivector
CP decomposition
Cubic form
Discrete exterior calculus
Einstein notation
Exterior algebra
Grassmann–Cayley algebra
Higher-order singular value decomposition
Homogeneous polynomial
HOSVD-based canonical form of TP functions and qLPV models
Hyperdeterminant
Interior product
Lagrange's identity
Multilinear form
Multilinear map
Multilinear subspace learning
Multivector
Paravector
Pfaffian
Plücker coordinates
User:Prof McCarthy/Multivector
Skew lines
Symmetric algebra
Tensor algebra
Tensor field
Tensor product of algebras
Tensor product of modules
Trace diagram
Bilinear form
Cartan–Dieudonné theorem
Covariance operator
Degenerate form
Dot product
Inner product space
Isotropic quadratic form
Symmetric bilinear form
Symplectic vector space
Convolution
Cross product
Cross-correlation
Dirichlet convolution
Frölicher–Nijenhuis bracket
Lagrange bracket
Lie bracket of vector fields
Matrix multiplication
Negacyclic convolution
Nijenhuis–Richardson bracket
Outer product
Paraproduct
Poisson bracket
Schouten–Nijenhuis bracket
Seven-dimensional cross product
Tensor product
Palatini identity
Raising and lowering indices
Tensor
Abstract index notation
Angular velocity
Antisymmetric tensor
Application of tensor theory in engineering
Axiality and rhombicity
Bach tensor
Calculus of moving surfaces
Cartesian tensor
Cauchy stress tensor
Characteristic polynomial
Proofs involving covariant derivatives
Codazzi tensor
Contorsion tensor
Cotton tensor
Covariance and contravariance of vectors
Covariant transformation
Deformation (mechanics)
Diffusion MRI
Dyadics
Electromagnetic stress–energy tensor
Electromagnetic tensor
Finite strain theory
Four-tensor
Fractional anisotropy
Gyration tensor
Holor
Invariants of tensors
Jordan and Einstein frames
Kulkarni–Nomizu product
Laguerre form
Lanczos tensor
Levi-Civita symbol
Lisp Algebraic Manipulator
List of moment of inertia tensors
Manifest covariance
Matricization
Maxwell stress tensor
Metric tensor
Mixed tensor
Penrose graphical notation
Plebanski tensor
Pseudotensor
Pullback (differential geometry)
Recurrent tensor
Relative scalar
Reynolds stress
Ricci calculus
Saint-Venant's compatibility condition
Scalar-tensor theory
Schouten tensor
Schur–Weyl duality
Segre classification
SHEEP (symbolic computation system)
Spherical basis
Spin tensor
Stewart–Walker lemma
Stress (mechanics)
Stress–energy tensor
Stress–energy–momentum pseudotensor
Structure tensor
Symmetric tensor
Tensor (intrinsic definition)
Tensor calculus
Tensor contraction
Tensor density
Tensor operator
Tensor product of quadratic forms
Tensor software
Tensor-hom adjunction
Tidal tensor
Two-point tensor
Two-vector
Veronese surface
Voigt notation
Differential form
Closed and exact differential forms
Complex differential form
De Rham cohomology
Differential ideal
Exterior bundle
Exterior derivative
Hodge dual
One-form
Positive form
Solder form
Stokes' theorem
Two-form
Vector-valued differential form
Volume form
Metric signature
Curvilinear coordinates
Tensors in curvilinear coordinates
Friedmann–Lemaître–Robertson–Walker metric
Gödel metric
Kasner metric
Kerr metric
Kerr–Newman metric
Lemaître coordinates
Lemaître–Tolman metric
Peres metric
Reissner–Nordström metric
Weyl−Lewis−Papapetrou coordinates
Bel decomposition
Bel–Robinson tensor
Belinfante–Rosenfeld stress–energy tensor
Carminati–McLenaghan invariants
Curvature invariant (general relativity)
Einstein tensor
Electrogravitic tensor
Gravitational energy
Kretschmann scalar
Magnetogravitic tensor
Metric tensor (general relativity)
Petrov classification
Ricci curvature
Ricci decomposition
Riemann curvature tensor
Topogravitic tensor
Weyl tensor
Clifford algebra
Algebra of physical space
Classification of Clifford algebras
Clifford bundle
Clifford module
Dirac algebra
Gamma matrices
Generalized Clifford algebra
Geometric algebra
Higher-dimensional gamma matrices
Point reflection
Pseudoscalar
Spacetime algebra
Split-biquaternion
Twistor theory
Weyl–Brauer matrices
Spinor
Dirac adjoint
Dirac equation
Dirac equation in curved spacetime
Dirac equation in the algebra of physical space
Dirac spinor
ELKO field
Fermionic field
Feynman checkerboard
Feynman slash notation
Fierz identity
Killing spinor
Majorana equation
Orientation entanglement
Plate trick
Pure spinor
Rarita–Schwinger equation
Spin connection
Spin group
Spin representation
Spin spherical harmonics
Spinor field
Spinors in three dimensions
Tangloids
Triality
Van der Waerden notation
Nonlinear Dirac equation
Two-body Dirac equations
Quaternion
3-sphere
Hurwitz quaternion order
Quaternion algebra
Bicomplex number
Biquaternion
Bivector (complex)
Classical Hamiltonian quaternions
Dicyclic group
Dual quaternion
Frobenius theorem (real division algebras)
Generalized quaternion interpolation
Hurwitz quaternion
Hyperbolic quaternion
Icosian
Linked field
Quaternion group
Quaternion Society
Quaternionic analysis
Quaternionic projective space
Quaternionic structure
Quaternionic vector space
Quaternions and spatial rotation
2 × 2 real matrices
Rotations in 4-dimensional Euclidean space
Slerp
Split-quaternion
Versor
History of quaternions
Binary polyhedral group
Binary cyclic group
Binary dihedral group
Binary icosahedral group
Binary octahedral group
Binary tetrahedral group
Outermorphism
Blade (geometry)
Comparison of vector algebra and geometric algebra
Conformal geometric algebra
Gauge theory gravity
Plane of rotation
Riemann–Silberstein vector
Rotor (mathematics)
Semi-orthogonal matrix
Universal geometric algebra
Invariant theory
Bracket algebra
Bracket ring
Canonizant
Capelli's identity
Catalecticant
Cayley's Ω process
Chevalley–Iwahori–Nagata theorem
Chevalley–Shephard–Todd theorem
The Classical Groups
Differential invariant
Evectant
Geometric invariant theory
Glossary of invariant theory
Gram's theorem
Gröbner basis
Haboush's theorem
Hall algebra
Hermite reciprocity
Hilbert's basis theorem
Hilbert's fourteenth problem
Hilbert's syzygy theorem
Hilbert–Mumford criterion
Hodge bundle
Invariant estimator
Invariant of a binary form
Invariant polynomial
Kempf–Ness theorem
Kostant polynomial
Littlewood–Richardson rule
Modular invariant theory
Moduli space
Molien series
Newton's identities
Nullform
Osculant
Perpetuant
Polynomial ring
Quantum invariant
Quaternary cubic
Quippian
Radical polynomial
Reynolds operator
Riemann invariant
Ring of symmetric functions
Schur polynomial
Semi-invariants of quivers
Standard monomial theory
Symbolic method
Ternary cubic
Ternary quartic
Trace identity
Transvectant
Young–Deruyts development
Symmetric function
Quasisymmetric function
Symmetric polynomial
Adams operation
Alternating polynomial
Bender–Knuth involution
Complete homogeneous symmetric polynomial
Elementary symmetric polynomial
Giambelli's formula
Hall–Littlewood polynomials
Jack function
Jucys–Murphy element
Kostka number
Kostka polynomial
LLT polynomial
Ian G. Macdonald
Maclaurin's inequality
Monk's formula
Newton polygon
Newton's inequalities
Pieri's formula
Plethysm
Polykay
Power sum symmetric polynomial
Ringel–Hall algebra
Robinson–Schensted–Knuth correspondence
Schubert polynomial
Stanley symmetric function
Symmetric product of an algebraic curve
Symmetrization
Vandermonde polynomial
Young symmetrizer
Young tableau
Young's lattice
Zonal polynomial
Fock space
Connection (mathematics)
Affine connection
Cartan connection
Cartan formalism (physics)
Christoffel symbols
Conformal connection
Connection (affine bundle)
Connection (algebraic framework)
Connection (composite bundle)
Connection (fibred manifold)
Connection (principal bundle)
Connection (vector bundle)
Connection form
Connector (mathematics)
Covariant derivative
Development (differential geometry)
Ehresmann connection
Exterior covariant derivative
Fundamental theorem of Riemannian geometry
Gauge covariant derivative
Gauss–Manin connection
Grothendieck connection
Holonomy
Horizontal bundle
Horizontal form
Levi-Civita connection
Linear connection
Metric connection
Moving frame
N-connected
Parallel transport
Projective connection
Schild's ladder
Simply connected space
Torsion tensor
Vertical bundle
Wormhole
Curvature
Cocurvature
Constant curvature
Curvature form
Curvature of a measure
Curvature of Riemannian manifolds
Darboux frame
Frenet–Serret formulas
Gauss–Codazzi equations
Gaussian curvature
Levi-Civita parallelogramoid
Mean curvature
Menger curvature
Non-positive curvature
Principal curvature
Radius of curvature (applications)
Radius of curvature (mathematics)
Prescribed Ricci curvature problem
Prescribed scalar curvature problem
Scalar curvature
Second fundamental form
Sectional curvature
Torsion of a curve
Total curvature
Gauge theory
Momentum
Hamiltonian mechanics
Dynamical systems theory
Hamilton–Jacobi equation
Canonical transformation
Hamiltonian optics
Geometric mechanics