Let $G$ be an algebraic group over an algebraically closed field. Let $P$ be a standard parabolic subgroup of $G$ and $L$ be it's Levi subgroup. Do we have that weyl group of P equals weyl group of L? For Borel subgroup, it's seems true. Thank you very much.
2026-03-26 23:09:33.1774566573
Weyl group of Parabolic subgroup
212 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LIE-GROUPS
- Best book to study Lie group theory
- Holonomy bundle is a covering space
- homomorphism between unitary groups
- On uniparametric subgroups of a Lie group
- Is it true that if a Lie group act trivially on an open subset of a manifold the action of the group is trivial (on the whole manifold)?
- Find non-zero real numbers $a,b,c,d$ such that $a^2+c^2=b^2+d^2$ and $ab+cd=0$.
- $SU(2)$ adjoint and fundamental transformations
- A finite group G acts freely on a simply connected manifold M
- $SU(3)$ irreps decomposition in subgroup irreps
- Tensors transformations under $so(4)$
Related Questions in LIE-ALGEBRAS
- Holonomy bundle is a covering space
- Computing the logarithm of an exponentiated matrix?
- Need help with notation. Is this lower dot an operation?
- On uniparametric subgroups of a Lie group
- Are there special advantages in this representation of sl2?
- $SU(2)$ adjoint and fundamental transformations
- Radical of Der(L) where L is a Lie Algebra
- $SU(3)$ irreps decomposition in subgroup irreps
- Given a representation $\phi: L \rightarrow \mathfrak {gl}(V)$ $\phi(L)$ in End $V$ leaves invariant precisely the same subspaces as $L$.
- Tensors transformations under $so(4)$
Related Questions in ALGEBRAIC-GROUPS
- How do you prove that category of representations of $G_m$ is equivalent to the category of finite dimensional graded vector spaces?
- How to realize the character group as a Lie/algebraic/topological group?
- Action of Unipotent algebraic group
- From a compact topological group to a commutative Hopf algebra
- When do we have $C(G) \otimes C(G) =C(G\times G)?$
- What is the internal Hom object in the category $\mathcal{C} = \mathbf{Rep}_k(G)$?
- Is the product of simply connected algebraic groups simply connected?
- Connected subgroup of $(K^\times)^n$ of Zariski dimension 1
- Action of $ \mathbb{G}_m $ on $ \mathbb{A}^n $ by multiplication.
- Book recommendation for Hopf algebras
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- 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?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- 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
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?