New posts in semisimple-lie-algebras

Prove Harish-Chandra's theorem on central characters with algebraic-geometrical observation and the linkage relations among weights

algebraic-geometry representation-theory lie-algebras semisimple-lie-algebras

Why is a root system called a "root" system?

representation-theory terminology lie-algebras root-systems semisimple-lie-algebras

Weyl's theorem over non-algebraically closed fields

reference-request representation-theory lie-algebras semisimple-lie-algebras

Derivations on semisimple Lie algebra

differential-geometry lie-algebras semisimple-lie-algebras

If $A$ is a direct sum of matrix algebra over $C$, what are all finite dimensional simple $A$-modules?

abstract-algebra modules representation-theory direct-sum semisimple-lie-algebras

Fun example of representations of $sl_2(\mathbb C)$

representation-theory lie-algebras semisimple-lie-algebras

How to show this $L$-module is simple? (related to the root space decomposition of semisimle Lie algebras)

linear-algebra lie-algebras semisimple-lie-algebras

Semisimplicity of so(B)

lie-algebras bilinear-form semisimple-lie-algebras

Equivalence of Two Cartan Subalgebra Definitions in Semi-Simple Lie Algebra

abstract-algebra lie-algebras semisimple-lie-algebras

Picture of Root System of $\mathfrak{sl}_{3}(\mathbb{C})$

abstract-algebra lie-algebras root-systems semisimple-lie-algebras

Irreducible Dual Representation

representation-theory lie-algebras weyl-group semisimple-lie-algebras

Good source of references for the classification of real semisimple Lie algebras

reference-request lie-algebras semisimple-lie-algebras

If $x\in L$ lies in exactly one Cartan subalgebra, then $x$ is regular

lie-algebras semisimple-lie-algebras

Is every element of a complex semisimple Lie algebra a commutator?

linear-algebra abstract-algebra reference-request lie-algebras semisimple-lie-algebras

When will two isomorphic Lie algebras have the same representation?

representation-theory lie-groups lie-algebras mathematical-physics semisimple-lie-algebras