Question

What is the complete decomposition of $E_8$ roots in terms of the objects $A_0$, $A_1$, $A_2$, $B_0$, and $B_1$

score 90 · Answer 1 · 2017-12-31 15:31:34

90

Views

What is the complete decomposition of $E_8$ roots in terms of the objects $A_0$, $A_1$, $A_2$, $B_0$, and $B_1$

Published on 31 Dec 2017 - 15:31

score 139 · Answer 2 · 2026-03-26 09:42:26

139

Views

Is this "co-location" of two $E_6$'s, two $F_4$'s, and one $E_8$ possible?

Published on 26 Mar 2026 - 9:42

score 206 · Answer 3 · 2026-03-25 04:40:23

206

Views

orbit of a Dynkin diagram automorphism

Published on 25 Mar 2026 - 4:40

score 721 · Answer 4 · 2011-03-15 20:37:19

721

Views

How can I find a Chevalley basis of $B_2$?

Published on 15 Mar 2011 - 20:37

score 871 · Answer 5 · 2012-10-01 05:58:28

871

Views

not all automorphisms of a root system are elements of weyl group

Published on 01 Oct 2012 - 5:58

score 442 · Answer 6 · 2012-10-01 11:09:43

442

Views

weyl group act by conjugation?

Published on 01 Oct 2012 - 11:09

score 283 · Answer 7 · 2012-10-01 11:23:24

283

Views

Weyl group of this root system is $S_n$?

Published on 01 Oct 2012 - 11:23

score 464 · Answer 8 · 2012-11-17 09:02:06

464

Views

Greatest elements in crystallographic root systems

Published on 17 Nov 2012 - 9:02

score 253 · Answer 9 · 2012-12-23 01:02:49

253

Views

$\Delta \subset \Phi$ is a base in a root system imples $\Delta^\vee \subset \Phi^\vee$ is a base in a root system

Published on 23 Dec 2012 - 1:02

score 2k · Answer 10 · 2013-01-07 14:27:53

2k

Views

Length of root strings is at most 4

Published on 07 Jan 2013 - 14:27

score 1.3k · Answer 11 · 2013-01-15 20:18:56

1.3k

Views

Dimension of Lie algebra according to root system

Published on 15 Jan 2013 - 20:18

score 260 · Answer 12 · 2013-02-07 16:01:25

260

Views

Root system of a Lie Algebra

Published on 07 Feb 2013 - 16:01

score 483 · Answer 13 · 2020-08-03 18:01:28

483

Views

Root system of $\mathfrak{gl}_n$ and reduction to $\mathfrak{sl}_n$ root system

Published on 03 Aug 2020 - 18:01

score 209 · Answer 14 · 2020-08-12 20:39:45

209

Views

The use of simple roots, Dynkin diagrams and Cartan matrices?

Published on 12 Aug 2020 - 20:39

score 52 · Answer 15 · 2020-08-18 12:52:11

52

Views

Identity for the $N_{\alpha \beta}$ of a Lie algebra from Killing form

Published on 18 Aug 2020 - 12:52

List Question

What is the complete decomposition of $E_8$ roots in terms of the objects $A_0$, $A_1$, $A_2$, $B_0$, and $B_1$

Is this "co-location" of two $E_6$'s, two $F_4$'s, and one $E_8$ possible?

orbit of a Dynkin diagram automorphism

How can I find a Chevalley basis of $B_2$?

not all automorphisms of a root system are elements of weyl group

weyl group act by conjugation?

Weyl group of this root system is $S_n$?

Greatest elements in crystallographic root systems

$\Delta \subset \Phi$ is a base in a root system imples $\Delta^\vee \subset \Phi^\vee$ is a base in a root system

Length of root strings is at most 4

Dimension of Lie algebra according to root system

Root system of a Lie Algebra

Root system of $\mathfrak{gl}_n$ and reduction to $\mathfrak{sl}_n$ root system

The use of simple roots, Dynkin diagrams and Cartan matrices?

Identity for the $N_{\alpha \beta}$ of a Lie algebra from Killing form

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