topological group
C18167
concept
A topological group is a group equipped with a topology such that the group operation and inversion are continuous maps with respect to that topology.
Observed surface forms (13)
- connected Lie group ×7
- discrete group ×5
- compact Lie group ×4
- Fuchsian group ×2
- Lie group action ×1
- arithmetic group ×1
- concept in topological group theory ×1
- locally compact group ×1
- matrix Lie group ×1
- p-adic Lie group ×1
- simply connected Lie group ×1
- topological group theory concept ×1
- universal covering group ×1
Instances (30)
- Euclidean group
- E(n)
- Lie group
-
modular group PSL(2,Z)
via concept surface "discrete group"
surface form: PSL(2,ℤ)
-
rotation group SO(3)
surface form: SO(3)
- SL(2,C) via concept surface "connected Lie group"
- SU(3) via concept surface "matrix Lie group"
- Weil group
- Kleinian group via concept surface "discrete group"
- (2,3,7) triangle group via concept surface "Fuchsian group"
-
rotation group SU(2)
via concept surface "compact Lie group"
surface form: SU(2)
- Fuchsian group via concept surface "discrete group"
- ISO(n)
-
special orthogonal group SO(n)
surface form: SO(n)
- U(1)
- p-adic analytic groups via concept surface "topological group theory concept"
- Spin(2,d) via concept surface "universal covering group"
-
special unitary group SU(n)
via concept surface "compact Lie group"
surface form: SU(n)
-
general linear group GL(n,R)
surface form: GL(n,ℝ)
-
general linear group GL(n,C)
surface form: GL(n,ℂ)
-
special linear group SL(n,C)
via concept surface "connected Lie group"
surface form: SL(n,ℂ)
- SL(2,ℤ) via concept surface "discrete group"
- PSL(2,ℝ) via concept surface "connected Lie group"
- Pauli group via concept surface "discrete group"
- SL(2,R) via concept surface "connected Lie group"
- Haar measure via concept surface "concept in topological group theory"
- Weil–Deligne group
- idèle class group
- metaplectic group
-
PSL(2,\mathbb{C})
via concept surface "connected Lie group"
surface form: PSL(2,ℂ)