New posts in lie-groups

What is reductive group intuitively?

abstract-algebra algebraic-geometry lie-groups reductive-groups

Isometries of the sphere $\mathbb{S}^{n}$

differential-geometry lie-groups riemannian-geometry

Geometric intuition behind the Lie bracket of vector fields

differential-geometry lie-groups lie-algebras vector-fields lie-derivative

Isometry group(s) of flat surfaces

differential-geometry euclidean-geometry riemannian-geometry lie-groups geometric-topology

Intuitive explanation of Left invariant Vector Field

differential-geometry intuition lie-groups

Nontrivial homogeneous Vector bundle

lie-groups differential-topology vector-bundles homogeneous-spaces linear-groups

Lie algebra of a quotient of Lie groups

lie-groups lie-algebras

Why must $U(1)$ matrices commute with $SU(2) \times SU(3)$ matrices in embedding within $SU(5)$?

abstract-algebra group-theory manifolds lie-groups lie-algebras

All connected closed subgroups in $\rm{SO}(3)$

lie-groups topological-groups orthogonal-matrices

Why do we care about two subgroups being conjugate?

abstract-algebra group-theory representation-theory lie-groups

how to show $SU(2)/\mathbb{Z}_2\cong SO(3)$

group-theory lie-groups

Under what conditions is the exponential map on a Lie algebra injective?

lie-groups lie-algebras exponentiation

What is Lie Theory/ a Lie Group, simply?

abstract-algebra group-theory lie-groups lie-algebras intuition

Proving that $\mathbb R^3$ cannot be made into a real division algebra (and that extending complex multiplication would not work)

abstract-algebra lie-groups quaternions division-algebras

When will two isomorphic Lie algebras have the same representation?

representation-theory lie-groups lie-algebras mathematical-physics semisimple-lie-algebras

Relation between $SU(4)$ and $SO(6)$

group-theory representation-theory lie-groups mathematical-physics quantum-field-theory

How to show path-connectedness of $GL(n,\mathbb{C})$

general-topology matrices lie-groups topological-groups connectedness

Given a group $ G $, how many topological/Lie group structures does $ G $ have?

general-topology functional-analysis soft-question lie-groups topological-groups

Is the continuous part of the symmetry group of a compact subset $\mathbb{R}^3$ isomorphic to $SO(k)$?

lie-groups lie-algebras symmetric-groups topological-groups isometry

On surjectivity of exponential map for Lie groups

general-topology differential-geometry lie-groups lie-algebras