Heisenberg group
In mathematics, the Heisenberg group , named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form under the operation of matrix multiplication. Elements a, b and c can be taken from any commutative ring with identity, often taken to be the ring of real numbers (resulting in the "continuous Heisenberg group") or the ring of integers (resulting in the "discrete Heisenberg group").
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57 (number)Baker–Campbell–Hausdorff formulaBasil HileyBianchi classificationCCR and CAR algebrasCR manifoldCanonical commutation relationCarnot groupCayley graphCenter (group theory)Christopher DeningerCoherent stateCoherent states in mathematical physicsConjugate variablesCoorbit theoryCross productDavid MumfordDehn functionDelay DopplerDiscrete Heisenberg groupDoubling spaceE7½Elementary abelian groupEn (Lie algebra)Engel's theoremEquations defining abelian varietiesExtra special groupFourier transformGeneralizations of Pauli matricesGeneric polynomialGeometric quantizationGeometrization conjectureGeometry FestivalGrowth rate (group theory)Hamiltonian mechanicsHeisenberg GroupHeisenberg Lie algebraHeisenberg algebraHeisenberg algebrasHermann_Weyl
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Heisenberg group
In mathematics, the Heisenberg group , named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form under the operation of matrix multiplication. Elements a, b and c can be taken from any commutative ring with identity, often taken to be the ring of real numbers (resulting in the "continuous Heisenberg group") or the ring of integers (resulting in the "discrete Heisenberg group").
has abstract
Als Heisenberggruppe bezeichne ...... Schrödinger-Bild zu erklären.
@de
En matemàtiques, el grup de He ...... , notant llavors al grup per .
@ca
En matemáticas, el grupo de He ...... otando entonces al grupo por .
@es
En mathématiques, le groupe de ...... un p-groupe fini, d'ordre p3.
@fr
Grupa Heisenberga – grupa maci ...... lementem neutralnym jest: oraz
@pl
In de groepentheorie, een deel ...... stemen, of nog algemener met .
@nl
In mathematics, the Heisenberg ...... o any symplectic vector space.
@en
Группа Гейзенберга — группа, с ...... квантово-механических систем.
@ru
ハイゼンベルク群 (Heisenberg group) とは ...... すのであれば, 次のような逆行列が得られることを言えばよい。
@ja
在數學裡，海森堡群是以维尔纳·海森堡來命名的，為如下之三階上三角矩陣所組成的群： 元素a、b、c可以取成某種交換環，一般會取成實數環或整數環。
@zh
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Als Heisenberggruppe bezeichne ...... Schrödinger-Bild zu erklären.
@de
En matemàtiques, el grup de He ...... , notant llavors al grup per .
@ca
En matemáticas, el grupo de He ...... otando entonces al grupo por .
@es
En mathématiques, le groupe de ...... ion en géométrie symplectique.
@fr
Grupa Heisenberga – grupa maci ...... lementem neutralnym jest: oraz
@pl
In de groepentheorie, een deel ...... stemen, of nog algemener met .
@nl
In mathematics, the Heisenberg ...... "discrete Heisenberg group").
@en
Группа Гейзенберга — группа, с ...... слом p — группа обозначается .
@ru
ハイゼンベルク群 (Heisenberg group) とは ...... すのであれば, 次のような逆行列が得られることを言えばよい。
@ja
在數學裡，海森堡群是以维尔纳·海森堡來命名的，為如下之三階上三角矩陣所組成的群： 元素a、b、c可以取成某種交換環，一般會取成實數環或整數環。
@zh
label
Groupe de Heisenberg
@fr
Grup de Heisenberg
@ca
Grupa Heisenberga
@pl
Grupo de Heisenberg
@es
Heisenberg group
@en
Heisenberg-groep
@nl
Heisenberggruppe
@de
Группа Гейзенберга
@ru
ハイゼンベルク群
@ja
海森伯群
@zh