Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Sesquilinear_form> ?p ?o }
- Sesquilinear_form abstract "In mathematics, a sesquilinear form is a generalization of a bilinear form that, in turn, is a generalization of the concept of the dot product of Euclidean space. A bilinear form is linear in each of its arguments, but a sesquilinear form allows one of the arguments to be \"twisted\" in a semilinear manner, thus the name; which originates from the Latin numerical prefix sesqui- meaning \"one and a half\". The basic concept of the dot product – producing a scalar from a pair of vectors – can be generalized by allowing a broader range of scalar values and, perhaps simultaneously, by widening the definition of what a vector is.A motivating special case is a sesquilinear form on a complex vector space, V. This is a map V × V → C that is linear in one argument and \"twists\" the linearity of other argument by complex conjugation (referred to as being antilinear in the other argument). This case arises naturally in mathematical physics applications. Another important case allows the scalars to come from any field and the twist is provided by a field automorphism. Many authors assume that this automorphism is an involution (has order two) to stay in analogy with the complex case, but others prove this property when introducing Hermitian forms.An application in projective geometry requires that the scalars come from a division ring (skewfield), K, and this means that the \"vectors\" should be replaced by elements of a K-module. In a very general setting, sesquilinear forms can be defined over R-modules for arbitrary rings R.".
- Sesquilinear_form wikiPageID "860138".
- Sesquilinear_form wikiPageLength "18875".
- Sesquilinear_form wikiPageOutDegree "69".
- Sesquilinear_form wikiPageRevisionID "661453323".
- Sesquilinear_form wikiPageWikiLink *-algebra.
- Sesquilinear_form wikiPageWikiLink Antihomomorphism.
- Sesquilinear_form wikiPageWikiLink Antilinear_map.
- Sesquilinear_form wikiPageWikiLink Automorphism.
- Sesquilinear_form wikiPageWikiLink Basis_(linear_algebra).
- Sesquilinear_form wikiPageWikiLink Bilinear_form.
- Sesquilinear_form wikiPageWikiLink Bilinear_map.
- Sesquilinear_form wikiPageWikiLink Bra–ket_notation.
- Sesquilinear_form wikiPageWikiLink Category:Functional_analysis.
- Sesquilinear_form wikiPageWikiLink Category:Linear_algebra.
- Sesquilinear_form wikiPageWikiLink Complex_conjugate.
- Sesquilinear_form wikiPageWikiLink Complex_conjugate_vector_space.
- Sesquilinear_form wikiPageWikiLink Conjugate_transpose.
- Sesquilinear_form wikiPageWikiLink Correlation_(projective_geometry).
- Sesquilinear_form wikiPageWikiLink Desarguess_theorem.
- Sesquilinear_form wikiPageWikiLink Differential_form.
- Sesquilinear_form wikiPageWikiLink Division_ring.
- Sesquilinear_form wikiPageWikiLink Dot_product.
- Sesquilinear_form wikiPageWikiLink Dual_space.
- Sesquilinear_form wikiPageWikiLink Equivariant_map.
- Sesquilinear_form wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Sesquilinear_form wikiPageWikiLink Euclidean_space.
- Sesquilinear_form wikiPageWikiLink Field_(mathematics).
- Sesquilinear_form wikiPageWikiLink Finite_field.
- Sesquilinear_form wikiPageWikiLink Functional_(mathematics).
- Sesquilinear_form wikiPageWikiLink Hermitian_manifold.
- Sesquilinear_form wikiPageWikiLink Hermitian_matrix.
- Sesquilinear_form wikiPageWikiLink Hilbert_space.
- Sesquilinear_form wikiPageWikiLink Identity_matrix.
- Sesquilinear_form wikiPageWikiLink If_and_only_if.
- Sesquilinear_form wikiPageWikiLink Imaginary_number.
- Sesquilinear_form wikiPageWikiLink Imaginary_unit.
- Sesquilinear_form wikiPageWikiLink Inner_product_space.
- Sesquilinear_form wikiPageWikiLink Involution_(mathematics).
- Sesquilinear_form wikiPageWikiLink Linear_form.
- Sesquilinear_form wikiPageWikiLink Linear_map.
- Sesquilinear_form wikiPageWikiLink Mathematics.
- Sesquilinear_form wikiPageWikiLink Module_(mathematics).
- Sesquilinear_form wikiPageWikiLink Norm_(mathematics).
- Sesquilinear_form wikiPageWikiLink Numeral_prefix.
- Sesquilinear_form wikiPageWikiLink Paul_Dirac.
- Sesquilinear_form wikiPageWikiLink Permutation.
- Sesquilinear_form wikiPageWikiLink Projective_geometry.
- Sesquilinear_form wikiPageWikiLink Quadratic_form.
- Sesquilinear_form wikiPageWikiLink Quantum_mechanics.
- Sesquilinear_form wikiPageWikiLink Real_number.
- Sesquilinear_form wikiPageWikiLink Reinhold_Baer.
- Sesquilinear_form wikiPageWikiLink Ring_(mathematics).
- Sesquilinear_form wikiPageWikiLink Scalar_(mathematics).
- Sesquilinear_form wikiPageWikiLink Semilinear_transformation.
- Sesquilinear_form wikiPageWikiLink Sesquilinear_form.
- Sesquilinear_form wikiPageWikiLink Skew-Hermitian_matrix.
- Sesquilinear_form wikiPageWikiLink Springer_Science+Business_Media.
- Sesquilinear_form wikiPageWikiLink Tensor_product.
- Sesquilinear_form wikiPageWikiLink Universal_property.
- Sesquilinear_form wikiPageWikiLink Vector_space.
- Sesquilinear_form wikiPageWikiLink Wiktionary:sesqui-.
- Sesquilinear_form wikiPageWikiLinkText "Hermitian form".
- Sesquilinear_form wikiPageWikiLinkText "Hermitian forms".
- Sesquilinear_form wikiPageWikiLinkText "Hermitian".
- Sesquilinear_form wikiPageWikiLinkText "Sesquilinear form".
- Sesquilinear_form wikiPageWikiLinkText "Sesquilinear form#Hermitian form".
- Sesquilinear_form wikiPageWikiLinkText "Sesquilinear form#Hermitian_form".
- Sesquilinear_form wikiPageWikiLinkText "Sesquilinear form#Skew-Hermitian form".
- Sesquilinear_form wikiPageWikiLinkText "Sesquilinear_form#semi-bilinear form".
- Sesquilinear_form wikiPageWikiLinkText "hermitian form".
- Sesquilinear_form wikiPageWikiLinkText "sesquilinear form".
- Sesquilinear_form wikiPageWikiLinkText "sesquilinear".
- Sesquilinear_form wikiPageWikiLinkText "sesquilinearity".
- Sesquilinear_form wikiPageWikiLinkText "skew-Hermitian".
- Sesquilinear_form id "Sesquilinear_form&oldid=35196".
- Sesquilinear_form title "Sesquilinear form".
- Sesquilinear_form wikiPageUsesTemplate Template:Abs.
- Sesquilinear_form wikiPageUsesTemplate Template:Citation.
- Sesquilinear_form wikiPageUsesTemplate Template:Math.
- Sesquilinear_form wikiPageUsesTemplate Template:Null.
- Sesquilinear_form wikiPageUsesTemplate Template:Overline.
- Sesquilinear_form wikiPageUsesTemplate Template:Reflist.
- Sesquilinear_form wikiPageUsesTemplate Template:Springer.
- Sesquilinear_form subject Category:Functional_analysis.
- Sesquilinear_form subject Category:Linear_algebra.
- Sesquilinear_form hypernym Generalization.
- Sesquilinear_form type Function.
- Sesquilinear_form comment "In mathematics, a sesquilinear form is a generalization of a bilinear form that, in turn, is a generalization of the concept of the dot product of Euclidean space. A bilinear form is linear in each of its arguments, but a sesquilinear form allows one of the arguments to be \"twisted\" in a semilinear manner, thus the name; which originates from the Latin numerical prefix sesqui- meaning \"one and a half\".".
- Sesquilinear_form label "Sesquilinear form".
- Sesquilinear_form sameAs Q1931224.
- Sesquilinear_form sameAs Sesquilinearform.
- Sesquilinear_form sameAs Seskvilineara_formo.
- Sesquilinear_form sameAs Forme_sesquilinéaire.
- Sesquilinear_form sameAs Forma_sesquilineare.
- Sesquilinear_form sameAs 半双線型形式.
- Sesquilinear_form sameAs Sesquilineair.
- Sesquilinear_form sameAs Forma_półtoraliniowa.
- Sesquilinear_form sameAs Forma_sesquilinear.
- Sesquilinear_form sameAs m.03j1xz.