Question

The intersection of a maximal toral subalgebra with a simple ideal of a Lie algebra is a maximal toral subalgebra of the simple ideal.

score 250 · Answer 1 · 2026-03-19 11:00:47

250

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The intersection of a maximal toral subalgebra with a simple ideal of a Lie algebra is a maximal toral subalgebra of the simple ideal.

Published on 19 Mar 2026 - 11:00

score 677 · Answer 2 · 2026-03-24 22:01:42

677

Views

Which roots are fixed by simple reflections of the Weyl Group?

Published on 24 Mar 2026 - 22:01

score 124 · Answer 3 · 2026-03-22 04:52:08

124

Views

Subgraphs of Dynkin Diagrams

Published on 22 Mar 2026 - 4:52

score 86 · Answer 4 · 2019-01-05 18:34:51

86

Views

Calculating the Formal character on the irreducible $(n+1)$ dimensional representation of $\mathfrak{sl}_2$

Published on 05 Jan 2019 - 18:34

score 445 · Answer 5 · 2019-01-07 20:15:45

445

Views

Highest Weights of Defining and Adjoint Representations of $\mathfrak{so}_5$

Published on 07 Jan 2019 - 20:15

score 407 · Answer 6 · 2019-01-09 19:05:35

407

Views

Unique faithful $7$-dimensional representation of semisimple Lie Algebra with $G_2$ root system

Published on 09 Jan 2019 - 19:05

score 84 · Answer 7 · 2019-01-09 21:48:39

84

Views

Decomposing $k$th exterior powers $\Lambda^kV(\omega_1)$

Published on 09 Jan 2019 - 21:48

score 512 · Answer 8 · 2019-01-13 17:33:29

512

Views

Determinant of adjoint representation

Published on 13 Jan 2019 - 17:33

score 128 · Answer 9 · 2019-01-28 02:24:56

128

Views

Real roots of U(2)

Published on 28 Jan 2019 - 2:24

score 1.2k · Answer 10 · 2019-02-03 18:48:56

1.2k

Views

Where does the half sum of positive roots live?

Published on 03 Feb 2019 - 18:48

score 162 · Answer 11 · 2019-02-11 21:26:23

162

Views

Multiplicities in restricted root systems of split real rank one groups

Published on 11 Feb 2019 - 21:26

score 101 · Answer 12 · 2019-02-16 18:39:21

101

Views

Understanding how the Lie algebra G2 arises in nature

Published on 16 Feb 2019 - 18:39

score 146 · Answer 13 · 2026-03-25 07:04:59

146

Views

What is known about such dominant integral weights of compact semisimple Lie groups?

Published on 25 Mar 2026 - 7:04

score 196 · Answer 14 · 2026-03-24 23:45:55

196

Views

The automorphism group of the lattice $E_6$

Published on 24 Mar 2026 - 23:45

score 468 · Answer 15 · 2026-03-25 01:27:00

468

Views

Notions of Fundamental Groups for semisimple algebraic groups

Published on 25 Mar 2026 - 1:27

List Question

The intersection of a maximal toral subalgebra with a simple ideal of a Lie algebra is a maximal toral subalgebra of the simple ideal.

Which roots are fixed by simple reflections of the Weyl Group?

Subgraphs of Dynkin Diagrams

Calculating the Formal character on the irreducible $(n+1)$ dimensional representation of $\mathfrak{sl}_2$

Highest Weights of Defining and Adjoint Representations of $\mathfrak{so}_5$

Unique faithful $7$-dimensional representation of semisimple Lie Algebra with $G_2$ root system

Decomposing $k$th exterior powers $\Lambda^kV(\omega_1)$

Determinant of adjoint representation

Real roots of U(2)

Where does the half sum of positive roots live?

Multiplicities in restricted root systems of split real rank one groups

Understanding how the Lie algebra G2 arises in nature

What is known about such dominant integral weights of compact semisimple Lie groups?

The automorphism group of the lattice $E_6$

Notions of Fundamental Groups for semisimple algebraic groups

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