Intereting Posts

What is $iav-\log(v)$? Any series expansion or inequality for it?
If $(I-T)^{-1}$ exists, can it always be written in a series representation?
Is every field the field of fractions for some integral domain?
Infinite nilpotent group, any normal subgroup intersects the center nontrivially
Hellinger-Toeplitz theorem use principle of uniform boundedness
Easy explanation of analytic continuation
A formal name for “smallest” and “largest” partition
How prove this inequality $\left(\int_{0}^{1}f(x)dx\right)^2\le\frac{1}{12}\int_{0}^{1}|f'(x)|^2dx$
How can I prove $\pi=e^{3/2}\prod_{n=2}^{\infty}e\left(1-\frac{1}{n^2}\right)^{n^2}$?
Why cannot a set be its own element?
How would I go about finding a closed form solution for $g(x,n) = f(f(f(…(x))))$, $n$ times?
When do Sylow subgroups have trivial intersection?
Prove that these two fields are isomorphic.
What is the geometric interpretation of the transpose?
Probability of Gambler's Ruin with Unequal Gain/Loss

I am looking for a reference for the above statement that every parabolic subgroup of $\mathrm{Sl}_n(\Bbbk)$ stabilizes some flag in $\Bbbk^n$. I have gone through a large pile of books and can’t seem to find one. Thanks a bunch in advance!

**Edit:** I understand $G=\mathrm{Sl}_n(\Bbbk)$ as a connected algebraic group and define a parabolic subgroup $P\subseteq G$ to be one that contains a maximal connected solvable subgroup. I know how this is equivalent to $G/P$ being complete (or projective).

- Reps of $Lie(G)$ lift to universal cover of $G$. Reps of $G$ descend to highest weight reps of $Lie(G)$?
- Orbits of $SL(3, \mathbb{C})/B$
- Connectedness of centralizer exercise
- Are the $C$-points of a simply connected algbraic group simply connected?
- Abelian subgroups of $GL_n(\mathbb{F}_p)$
- If a subgroup of an algebraic group is solvable, is its closure necessarily solvable?

- When are finite-index subgroups of a Lie group closed?
- Geometric & Intuitive Meaning of $SL(2,R)$, $SU(2)$, etc… & Representation Theory of Special Functions
- Connectedness of centralizer exercise
- Getting started with Lie Groups
- Possibilities of an action of $S^1$ on a disk.
- Examples of group extension $G/N=Q$ with continuous $G$ and $Q$, but finite $N$
- One more question about mapping quaternionic matrices into real matrices
- free subgroups of $SL(2,\mathbb{R})$
- The complex structure of a complex torus
- — Cartan matrix for an exotic type of Lie algebra --

Books on “buildings” will discuss such a definition/theorem, in the example of $SL_n$, for example, my book that is also on-line, “Buildings and Classical Groups” (see http://www.math.umn.edu/~garrett/m/buildings/). In fact, this idea is what Jacques Tits was trying to abstract for exceptional groups by his more general notion of “building”.

- Adjointness of Hom and Tensor
- Picard group and cohomology
- Big Bang Theory Reference to Formal Logic
- Is the boundary of a connected set connected?
- Accessible Intro to Random Matrix Theory (RMT)
- How is it possible for the inverse function of a linear-continuous-bijective function to be not continuous?
- Question about solvable groups
- Fourier Transform of Schwartz Space
- Prove that $M/Tor(M) $ is torsion-free.
- What does $\lim\limits_{x \to \infty} f(x) = 1$ say about $\lim\limits_{x \to \infty} f'(x)$?
- Does $R \cong S$ imply $R \cong S$?
- formula for summation notation involving variable powers
- Show that a Bilinear form is Coercive
- How to show that $f$ is constant by using Liouville's theorem?
- Intuitive proof of multivariable changing of variables formula (jacobian) without using mapping and/or measure theory?