Question

Explicit expression for simple roots of the root systems $A_2$, $B_2$ and $G_2$ in 2D

score 82 · Answer 1 · 2026-03-25 20:42:03

82

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Explicit expression for simple roots of the root systems $A_2$, $B_2$ and $G_2$ in 2D

Published on 25 Mar 2026 - 20:42

score 109 · Answer 2 · 2023-11-14 21:20:52

109

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Number of type $A_{n-1}$ sub-systems of root system $A_n$

Published on 14 Nov 2023 - 21:20

score 97 · Answer 3 · 2023-11-20 08:01:11

97

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Two alternative descriptions of $\mathrm{so}_{2n}(\mathbb{C})$

Published on 20 Nov 2023 - 8:01

score 55 · Answer 4 · 2023-11-29 07:32:37

55

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Elementary consequences of the root system axioms

Published on 29 Nov 2023 - 7:32

score 89 · Answer 5 · 2023-12-16 12:00:52

89

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Weyl group acting on integral lattice

Published on 16 Dec 2023 - 12:00

score 186 · Answer 6 · 2023-12-28 18:45:41

186

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How do people compute the root systems of the classical Lie algebras?

Published on 28 Dec 2023 - 18:45

score 37 · Answer 7 · 2026-03-25 14:25:40

37

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Relationships between the representations of $G$ and the representations of $G^{\text{der}}$

Published on 25 Mar 2026 - 14:25

score 145 · Answer 8 · 2026-03-25 14:24:39

145

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Is the Lie-subalgebra generated by the root-spaces of a semisimple Lie-algebra semisimple?

Published on 25 Mar 2026 - 14:24

score 112 · Answer 9 · 2024-02-03 21:51:51

112

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Connection between maximal tori and roots

Published on 03 Feb 2024 - 21:51

score 39 · Answer 10 · 2024-02-03 22:52:35

39

Views

Can Borel subgroups be partitioned into sets of roots?

Published on 03 Feb 2024 - 22:52

score 25 · Answer 11 · 2024-02-10 12:10:06

25

Views

If $\alpha$ and $c \alpha$ are roots of a semisimple Lie algebra, then $c \in \{-1, 1\}$

Published on 10 Feb 2024 - 12:10

score 50 · Answer 12 · 2026-03-25 04:36:52

50

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About elements in affine extended Weyl group

Published on 25 Mar 2026 - 4:36

score 382 · Answer 13 · 2015-01-27 20:49:19

382

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Root system of a simple lie algebra is irreducible

Published on 27 Jan 2015 - 20:49

score 185 · Answer 14 · 2015-02-02 04:39:35

185

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Positivity of a particular vector

Published on 02 Feb 2015 - 4:39

score 122 · Answer 15 · 2015-03-02 11:26:45

122

Views

Questions about the indivisible imaginary root in affine root system.

Published on 02 Mar 2015 - 11:26

List Question

Explicit expression for simple roots of the root systems $A_2$, $B_2$ and $G_2$ in 2D

Number of type $A_{n-1}$ sub-systems of root system $A_n$

Two alternative descriptions of $\mathrm{so}_{2n}(\mathbb{C})$

Elementary consequences of the root system axioms

Weyl group acting on integral lattice

How do people compute the root systems of the classical Lie algebras?

Relationships between the representations of $G$ and the representations of $G^{\text{der}}$

Is the Lie-subalgebra generated by the root-spaces of a semisimple Lie-algebra semisimple?

Connection between maximal tori and roots

Can Borel subgroups be partitioned into sets of roots?

If $\alpha$ and $c \alpha$ are roots of a semisimple Lie algebra, then $c \in \{-1, 1\}$

About elements in affine extended Weyl group

Root system of a simple lie algebra is irreducible

Positivity of a particular vector

Questions about the indivisible imaginary root in affine root system.

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