Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

**13**

**4**answers

### About the definition of E8, and Rosenfeld's “Geometry of Lie groups”

**2**

**0**answers

### Closed Semi-Riemannian manifolds with non-compact isometry group

**3**

**0**answers

### Differential geometry and category theory

**3**

**2**answers

### Generating Irreducible representations of a simple lie algebra with Schur functors

**3**

**1**answer

### Clebsch–Gordan decomposition for $\mathrm{SU}(2)$, in indices

**4**

**1**answer

### A question about centralizer of a vectors in the positive Weyl chamber

**5**

**1**answer

### Can I bring the Kirillov 2-form on coadjoint orbits to adjoint orbits?

**5**

**0**answers

### Convolution theorem on a non-abelian Lie group

**1**

**1**answer

### Why is the Chern Number Invariant under A Continuously Shrinking of the Structure Group?

**7**

**0**answers

### What is $SL(2,\mathbb{R})$-Chern-SImons Theory?

**7**

**0**answers

### Criterion for existence of a homogeneous space associated to a Lie pair

**4**

**1**answer

### Multiplicities in Plancherel theorem for SL2(R)

**0**

**0**answers

### How the roots and weights changed under a folding?

**3**

**1**answer

### Slice theorem for proper groupoids

**-2**

**0**answers

### What are the universal covers of $G_2$ as a Lie group?

**1**

**0**answers

### Volume form preserved by the action of $\mathrm{PGL(n+1, \mathbb{R}})$ on $\mathbf{P}^n(\mathbb{C}) \setminus \mathbf{P}^n(\mathbb{R}) $?

**1**

**0**answers

### Is there a class of non-symmetric spaces $G/SO(n)$ such that $Hol(G/SO(n))=SO(n)$?

**1**

**0**answers

### sequence definition of proper group action

**2**

**0**answers

### Quotient by a non-free action of a Lie group and manifolds with corners

**4**

**0**answers

### Representation on square integrable sections of a principal bundle

**5**

**1**answer

### Is the action of $SO(n)$ on the sphere $S^{n-1}$ ballanced?

**2**

**0**answers

### Lie algebra bundle associated to a Lie group bundle

**2**

**0**answers

### What are the simply-connected non-compact irreducible symmetric spaces? [migrated]

**5**

**1**answer

### Fell's trick for Lie groups

**5**

**0**answers

### Restricting projective representations of Lie groups to lattices

**6**

**0**answers

### Relation between Lie group characters and spherical functions on symmetric spaces

**5**

**0**answers

### Restriction of discrete series

**3**

**1**answer

### Left invariant connections on a Lie group

**3**

**1**answer

### Holonomy groups of compact Riemannian symmetric spaces

**-2**

**1**answer

### Prove or disprove Any subgroup of differentiable lie group is analytic submanifold? [closed]

**4**

**2**answers

### Weyl's Branching Rule for $SU(N)$-Setting

**4**

**0**answers

### Good range and fair range

**3**

**0**answers

### Parallel transport for variety over finite field

**4**

**0**answers

### Modular $S$-matrix for an extended affine Lie algebra

**2**

**0**answers

### Effective actions by non-commutative groups have non-commuting fundamental vector fields?

**2**

**1**answer

### Descending chain property for compact Lie goups

**4**

**1**answer

### Haar unitaries with constraints

**8**

**1**answer

### Young tableaux for exceptional Lie algebras

**1**

**0**answers

### Modular transformation of affine characters of non-simply connected groups$.$

**6**

**1**answer

### Branching from $E(6)$ to $SO(10) \times U(1)$

**3**

**0**answers

### Decay of Fourier coefficients for Hölder functions on compact Lie groups

**1**

**1**answer

### Abstracting the properties of the category $\frak{g}$-modules

**11**

**1**answer

### Decategorification of Gaitsgory's strange functional equation?

**3**

**1**answer

### The role of semisimple factors in transitive group actions on manifolds

**3**

**1**answer

### Possible groups appearing in a Shimura datum

**6**

**1**answer

### Closures of torus orbits in flag varieties

**4**

**0**answers

### Identification of spectral and differential data for integrable difference equations?

**3**

**0**answers

### Generalizing Autonne-Takagi factorization

**6**

**1**answer

### The group of Isometries of Shahshahani metric

**2**

**0**answers