New posts in algebraic-groups

If $A \in M_{n,n}(\mathbb F)$ is invertible then $A = UPB$, $U$ is unipotent upper triangular, $B$ is upper triangular and $P$ is a permutation.

linear-algebra abstract-algebra matrices algebraic-groups

Tannakian theory for Lie algebras

category-theory representation-theory algebraic-groups

If a complex Lie group has the structure of an algebraic group, is this structure unique?

lie-groups complex-geometry algebraic-groups

Can $\mathrm{PGL}_2$ be viewed as an affine algebraic group?

group-theory algebraic-groups

Find conjugation invariant functions without using eigenvalues?

linear-algebra algebraic-groups

proof of basic fact that torus actions are diagonalizable

linear-algebra representation-theory algebraic-groups

How to calculate $|\operatorname {SL}_2(\mathbb Z/N\mathbb Z)|$?

group-theory number-theory algebraic-groups modular-forms

Outer automorphism of SLn

algebraic-geometry representation-theory lie-groups lie-algebras algebraic-groups

Maximal tori in Lie vs algebraic groups

lie-groups lie-algebras algebraic-groups

Is there an internally consistent nearest-neighbor relation in this complete linearization of the 240 roots of $E_8$?

algebraic-groups root-systems

Is supercuspidal representation the same as cuspidal representation?

representation-theory algebraic-groups

affine variety definition

algebraic-geometry algebraic-groups

Lie Groups/Lie algebras to algebraic groups

representation-theory lie-groups lie-algebras algebraic-groups

Does the Zariski closure of a maximal subgroup remain maximal?

group-theory algebraic-geometry algebraic-groups

Is there a classification of finite abelian group schemes?

finite-groups algebraic-groups

Proving $\pi$ is irreducible/prime in $R.$

abstract-algebra ring-theory ideals maximal-and-prime-ideals algebraic-groups

Quotient of a Lie algebra by a subalgebra - what is it?

algebraic-geometry representation-theory lie-algebras algebraic-groups homogeneous-spaces

Why Bruhat decomposition in $GL_n$ case is the Gauss decomposition?

linear-algebra representation-theory lie-groups algebraic-groups

Examples of Lie algebras of the $BC$ root system type

lie-algebras algebraic-groups

Connectedness of centralizer exercise

group-theory algebraic-groups