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Exponential map on Heisenberg group is a diffeomorphism.

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#riemannian-geometry #heisenberg-group
113
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Can 3 dimensional Heisenberg group be represented irreducibly on L^2(S)?

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#representation-theory #locally-compact-groups #heisenberg-group
200
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Unitary representation of the Heisenberg group and the universal enveloping algebra

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#lie-groups #lie-algebras #heisenberg-group
639
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Quotient space form by the action of the discrete Heisenberg group on the Heisenberg group

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#algebraic-topology #differential-topology #group-actions #heisenberg-group
363
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Sources for exploring Nil Geometry

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#geometry #lie-groups #geometric-topology #heisenberg-group
176
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Lifting representation Heisenberg algebra

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#representation-theory #lie-groups #lie-algebras #quantum-mechanics #heisenberg-group
1.8k
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Commutator subgroup of Heisenberg group.

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#abstract-algebra #group-theory #quotient-group #nilpotent-groups #heisenberg-group
171
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Free nilpotent group on 2 generators of class 2.

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#free-groups #group-presentation #nilpotent-groups #heisenberg-group
1.1k
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The center of the group of $n\times n$ upper triangular matrices with a diagonal of ones

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#abstract-algebra #group-theory #linear-groups #general-linear-group #heisenberg-group
89
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Upper bound of group order where $g^3=e \forall g\in G$

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#abstract-algebra #group-theory #finite-groups #heisenberg-group
263
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An example for a group so that $ Z(G) ≨ G'$

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#abstract-algebra #group-theory #heisenberg-group
77
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linear independency of basis elements of the Heisenberg Algebra

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#linear-algebra #abstract-algebra #lie-algebras #heisenberg-group
68
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Compact embedding and uniform convexity fo Sobolev space in Heisenberg group

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#functional-analysis #partial-differential-equations #metric-spaces #sobolev-spaces #heisenberg-group
419
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Heisenberg group is nilpotent

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#solvable-groups #nilpotent-groups #heisenberg-group
125
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Heisenberg Lie group, image of specific element by any representation is nilpotent

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#representation-theory #lie-groups #lie-algebras #heisenberg-group

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