Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie ...

**13**

**4**answers

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

**3**

**2**answers

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

**6**

**1**answer

### Symmetric tensor of Lie algebra of $su(N)$

**0**

**1**answer

### Book on algebraic structures

**4**

**1**answer

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

**4**

**1**answer

### The Ungraded Milnor-Moore Theorem

**5**

**1**answer

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

**1**

**0**answers

### Pairing half the sum of the roots with a simple coroot

**3**

**1**answer

### Framing dependence of HOMFLY polynomial

**7**

**0**answers

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

**0**

**0**answers

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

**2**

**0**answers

### Why Lie algebra (Chevalley–Eilenberg) cohomology are graded Lie algebras but not G-algebras?

**0**

**0**answers

### Comments/references on an obscure category of “rudimentary representations”

**2**

**0**answers

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

**3**

**1**answer

### When is this map of Hopf algebras Surjective?

**0**

**0**answers

### Dual space of polynomial one-form

**7**

**1**answer

### Exponential map of a Formal Group Scheme

**10**

**2**answers

### Why is every deformation of the universal enveloping algebra of a complex semisimple Lie algebra trivial?

**3**

**1**answer

### Holonomy groups of compact Riemannian symmetric spaces

**4**

**2**answers

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

**4**

**0**answers

### Good range and fair range

**3**

**0**answers

### Which kind of functors preserve the bar-construction?

**2**

**0**answers

### Adjoint orbits of a finite group of type $G_2$ [reference request]

**4**

**0**answers

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

**9**

**1**answer

### How many facets does the convex hull of all the roots of a root system have?

**5**

**1**answer

### Restricted Lie algebras with no nonzero proper restricted subalgebras

**8**

**1**answer

### Young tableaux for exceptional Lie algebras

**1**

**1**answer

### A Lie algebra associated to a symplectic manifold

**1**

**1**answer

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

**1**

**0**answers

### A property of the Weyl vector of an irreducible root system

**1**

**0**answers

### How to express free Lie algebra elements in terms of the right-normed basis?

**1**

**0**answers

### Weyl's formula and Cartan decompositiom of semisimple lie algebras

**5**

**1**answer

### Formula for Goldman Lie bracket of surface

**1**

**1**answer

### Diagonalisation of invariant hermitian forms and irreducible representations of tori actions

**1**

**0**answers

### Tensor product of irreducible ''anti-dominant'' representations

**1**

**1**answer

### Torus actions on $Sp(n)$-spheres

**11**

**3**answers

### About enveloping algebras of direct sums

**1**

**0**answers

### Some questions about $\rho^{\vee}$ in Lie theory

**3**

**1**answer

### Poisson vertex algebra

**0**

**0**answers

### Classifications of the indefinite generalized Cartan matrix

**5**

**1**answer

### Is it true that $\mathfrak{g}=\mathfrak{g}_e\oplus[x,\mathfrak{g}]$?

**4**

**0**answers

### Second symmetric square of the adjoint representation

**5**

**1**answer

### Symmetric Powers for Lie Algebras

**1**

**0**answers

### Lie Algebra Module Decomposition in GAP

**2**

**0**answers

### $U(sp_2)$ subalgebra of $U(sl_4)$?

**3**

**1**answer

### Representation of a Lie algebra from a representation of Lie group

**1**

**1**answer

### Semi-direct product of Lie algebras [closed]

**4**

**0**answers

### Isn't the quantomorphism group really just the “WKB-quantomorphism” group?

**7**

**2**answers

### The actual Satake diagram EIV

**9**

**1**answer