List questions from semisimple-lie-algebras

208

Views

Structure constants $\frac{N_{a,b}}{\langle c,c\rangle}=\frac{N_{b,c}}{\langle a,a\rangle}=\frac{N_{c,a}}{\langle b,b\rangle}$ for roots $a+b+c=0$

Published on 10 Mar 2020 - 9:07

328

Views

Representations of $\mathfrak{sl_3}\mathbb{C}$

Published on 12 Mar 2020 - 12:50

36

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Values of $b(h_a)-a(h_b)$ with $a,b$ being roots in root system of a Lie algebra

Published on 22 Mar 2026 - 19:43

809

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Converting a dominant weight of $\mathfrak{gl}_n$ to $\mathfrak{sl}_n$

Published on 19 Mar 2020 - 2:32

240

Views

Decomposition of tensor product of defining representation with itself for $G=\mathrm{SO}(5)$

Published on 23 Feb 2026 - 1:53

616

Views

Semisimple Lie algebra and Jacobson radical

Published on 08 Apr 2020 - 15:19

256

Views

Why define Chevalley groups over $\mathbb{Z}$

Published on 09 Apr 2020 - 20:41

250

Views

Lie algebras which are closed under the conjugate transpose are reductive

Published on 12 Apr 2020 - 21:22

249

Views

How $L$ acts trivially on any one-dimensional $L$-module

Published on 14 Apr 2020 - 21:08

51

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Reepresentation of $SU(2)\times SU(2)$

Published on 20 Apr 2020 - 16:08

125

Views

The inverse of Weyl's Theorem

Published on 21 Apr 2020 - 15:19

324

Views

Adjoint action of special orthogonal groups on their Lie algebras

Published on 27 Mar 2026 - 14:03

459

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Classification of non-simple Lie algebras

Published on 09 May 2020 - 12:07

415

Views

structure of ideals in lie algebra

Published on 14 May 2020 - 1:56

123

Views

Definition of Cartan subalgebra in Erdmann-Wildon

Published on 15 May 2020 - 8:32

List Question

Structure constants $\frac{N_{a,b}}{\langle c,c\rangle}=\frac{N_{b,c}}{\langle a,a\rangle}=\frac{N_{c,a}}{\langle b,b\rangle}$ for roots $a+b+c=0$

Representations of $\mathfrak{sl_3}\mathbb{C}$

Values of $b(h_a)-a(h_b)$ with $a,b$ being roots in root system of a Lie algebra

Converting a dominant weight of $\mathfrak{gl}_n$ to $\mathfrak{sl}_n$

Decomposition of tensor product of defining representation with itself for $G=\mathrm{SO}(5)$

Semisimple Lie algebra and Jacobson radical

Why define Chevalley groups over $\mathbb{Z}$

Lie algebras which are closed under the conjugate transpose are reductive

How $L$ acts trivially on any one-dimensional $L$-module

Reepresentation of $SU(2)\times SU(2)$

The inverse of Weyl's Theorem

Adjoint action of special orthogonal groups on their Lie algebras

Classification of non-simple Lie algebras

structure of ideals in lie algebra

Definition of Cartan subalgebra in Erdmann-Wildon

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