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New posts in lie-groups
Fundamental domain of $\operatorname{GL}(n,\mathbb R)$ acted on by $\operatorname{GL}(n, \mathbb Z)$
matrices
reference-request
lie-groups
lattices-in-lie-groups
Derivation of a representation through a vector field
differential-geometry
proof-verification
lie-groups
differential-forms
Lie group with constant metric tensor but nonzero curvature?
riemannian-geometry
lie-groups
Geometric interpretation of the map $SO(4) \to SO(3)$
differential-geometry
algebraic-topology
lie-groups
homotopy-theory
Linear homomorphisms of square matrices are conjugations
linear-algebra
matrices
lie-groups
lie-algebras
a neighbourhood of identity $U$ generates $G$ where $G$ is a connected lie group
differential-geometry
lie-groups
How is $\operatorname{GL}(1,\mathbb{C})$ related to $\operatorname{GL}(2,\mathbb{R})$?
group-theory
lie-groups
representation-theory
Why represent a complex number $a+ib$ as $[\begin{smallmatrix}a & -b\\ b & \hphantom{-}a\end{smallmatrix}]$? [duplicate]
linear-algebra
matrices
complex-numbers
lie-groups
Why aren't Lie Algebra generators invertible if we apply constarints from the Lie Group?
group-theory
representation-theory
manifolds
lie-groups
lie-algebras
When do two matrices have the same exponential?
matrices
lie-groups
lie-algebras
Diffeomorphic, group-isomorphic Lie groups that are not isomorphic as Lie groups
differential-geometry
differential-topology
lie-groups
What is the relation between representations of Lie Groups and Lie Algebras?
representation-theory
lie-groups
lie-algebras
mathematical-physics
quantum-field-theory
Where is the error in my argument that SO(4) contains a 7-dimensional subspace?
vector-spaces
lie-groups
rotations
orthogonal-matrices
Show that an orthogonal group is a $ \frac{n(n−1)}2 $-dim. $ C^{\infty} $-Manifold and find its tangent space
real-analysis
lie-groups
Does a Lie group's group structure (not Lie group structure) determine its topology?
general-topology
group-theory
lie-groups
Is $SO_n({\mathbb R})$ a divisible group?
linear-algebra
group-theory
lie-groups
divisible-groups
Normal Subgroups of $SU(n)$
group-theory
lie-groups
lie-algebras
How to properly apply the Lie Series
lie-groups
exponentiation
differential-operators
Relationship between proper orthochronous Lorentz group $SO^+(1,3)$ and $SU(2)\times SU(2)$, or their Lie algebras
group-theory
physics
lie-groups
lie-algebras
Are all Lie groups Matrix Lie groups?
matrices
group-theory
manifolds
lie-groups
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