New posts in Representation Theory

Meaning of the antipode in Hopf algebras?

Representation theory of $\mathbb{R}$?

Definition of Affine Grassmannian

Why all irreducible representations appear in the regular representation?

Decomposition of a representation into a direct sum of irreducible ones

What is Representation Theory?

Advanced beginners textbook on Lie theory from a geometric viewpoint

1-dim representations of the affine Hecke algebra for $G = \text{SL}_2$

Representation of an abelian groups

If $\mathfrak{g}=\bigoplus\mathfrak{g}_i$ is a semisimple Lie algebra, why does $\mathfrak{h}=\bigoplus\left(\mathfrak{h}\cap\mathfrak{g}_i\right)$?