What is an example of a Lie algebra L and its non-semisimple representation? I need this for study so any help would be appreciated.
2025-01-13 09:50:49.1736761849
example of a Lie algebra L and its non-semisimple representation
69 Views Asked by NumberFrog https://math.techqa.club/user/numberfrog/detail AtRelated Questions in LIE-ALGEBRAS
- How do I make sense of terms $X^j\partial_j(Y^i)$ in the Lie bracket of vector fields?
- When derivations are exactly homomorphisms?
- Ideals in Lie algebras
- Lie bracket on $\Gamma(TM\oplus (M\times \mathfrak{g}))$?
- 2-dimensional derived subalgebra of 3-dimensional Lie algebra is abelian
- How are groups with the same Lie Algebra inequivalent?
- Generators of a semi simple lie algebra must be traceless
- From Generators of Lie Groups to Representations
- How does a Lie algebra act on a tensor product of L-modules?
- Representation of a Kac-Moody algebra
Related Questions in SEMISIMPLE-LIE-ALGEBRAS
- Isomorphism of $\mathfrak{gl}_n(K)/\mathfrak{sl}_n(K)$ to $K$.
- Kkilling form $\kappa(t_\alpha , t_\alpha ) \neq 0$ for a root $\alpha$ of semisimple lie algebra $L$
- Cohomology groups of semisimple Lie algebras and Lie groups over $\mathbb{R}$
- How does one proceed in finding a Cartan subalgebra?
- What is the derived algebra of $\mathfrak{sl}(n,\mathbb C)$?
- example of a Lie algebra L and its non-semisimple representation
- How to prove that $\mathfrak{sl}(n,\Bbb C)$ is a simple Lie algebra for $n\ge 2$?
- Is the one-dimensional Lie algebra L=C semisimple?
- Second cohomology group of semidirect sum of semisimple Lie algebra $\mathfrak{g}$ and over finite $\mathfrak{g}$-module.
- If X commutes with all elements of the Cartan subalgebra, then X is in the Cartan Subalgebra?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity