List questions from kac-moody-algebras | MathQA

$f_i^N(uv_\lambda)=\sum_{k=0}^N {{N}\choose{k}}((ad\ f_i)^ku)(f_i^{N-k}v_\lambda)$

Published on 07 May 2026 - 14:56

Deriving Jacobi triple from the Weyl-Kac denominator formula of affine $\mathfrak{sl}_2$

Published on 25 Mar 2026 - 22:27

$\dim V_\lambda=\dim V_{w(\lambda)}$ when $V$ is an integrable module over a Kac-Moody algebra

Published on 25 Mar 2026 - 22:24

How does one find subalgebras using the Dynkin diagram of a Lie algebra

Published on 04 May 2026 - 21:01

Highest-weight module over $\mathfrak{sl}_2$

Published on 07 May 2026 - 12:13

Why do we introduce a realisation of a generalized Cartan matrix?

Published on 07 May 2026 - 10:25

Kac-Moody algebras: why $Z \subset$ span$\Pi^V$

Published on 25 Mar 2026 - 22:25

What makes an affine Kac-Moody algebra 'untwisted' or 'twisted'

Published on 25 Mar 2026 - 9:27

What is the classification of the Witt algebra?

Published on 25 Mar 2026 - 22:26

Definition affine kac moody algebra

Published on 07 May 2026 - 14:07

Determinie the multiplicity of a root in $\mathfrak{g}(A)$ where $2\times 2$-matrix $A$ given (or arbitrary)

Published on 25 Mar 2026 - 22:26

About imaginary root of a symmetrizable Kac Moody algebra

Published on 07 May 2026 - 8:30