Question

SU(2) Lie algebra: Derive the 3-dimensional adjoint matrix representation, from the given 2-dimensional fundamental matrix representation

score 3.4k · Answer 1 · 2021-08-01 16:40:58

3.4k

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SU(2) Lie algebra: Derive the 3-dimensional adjoint matrix representation, from the given 2-dimensional fundamental matrix representation

Published on 01 Aug 2021 - 16:40

score 1k · Answer 2 · 2021-08-01 16:46:02

1k

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SU(5) Lie algebra: Derive the 10-dimensional matrix representation, from the given 5-dimensional fundamental matrix representation

Published on 01 Aug 2021 - 16:46

score 235 · Answer 3 · 2021-08-08 10:34:11

235

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

Published on 08 Aug 2021 - 10:34

score 136 · Answer 4 · 2021-08-09 14:48:14

136

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Explicit 28 Lie algebra matrix representations of $Spin(8)$: Two half-spinor representations

Published on 09 Aug 2021 - 14:48

score 105 · Answer 5 · 2021-08-09 15:43:43

105

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Explicit 45 Lie algebra generators as rank-16 matrix spinor representations of $(10)$

Published on 09 Aug 2021 - 15:43

score 50 · Answer 6 · 2021-10-28 23:48:16

50

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Prove that the following set is a dynkin system

Published on 28 Oct 2021 - 23:48

score 304 · Answer 7 · 2021-12-12 02:43:04

304

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Weights, Representations and Tensors

Published on 12 Dec 2021 - 2:43

score 94 · Answer 8 · 2022-01-22 19:24:24

94

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Counting and finding root subsystems

Published on 22 Jan 2022 - 19:24

score 87 · Answer 9 · 2022-04-22 20:54:28

87

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Lie algebra structure on $\mathbb{C}[G]$

Published on 22 Apr 2022 - 20:54

score 132 · Answer 10 · 2022-06-03 08:14:28

132

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What is a simple component of a root system?

Published on 03 Jun 2022 - 8:14

score 228 · Answer 11 · 2022-06-06 12:59:04

228

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Which Dynkin diagram is being spoken about here? Why is there a double line?

Published on 06 Jun 2022 - 12:59

score 48 · Answer 12 · 2022-07-26 06:59:01

48

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Visual guides request or dictionary for understanding Coxeter-Dynkin diagram

Published on 26 Jul 2022 - 6:59

score 101 · Answer 13 · 2022-08-21 13:25:52

101

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What is the name of the "duality" Dynkin diagram automorphism

Published on 21 Aug 2022 - 13:25

score 92 · Answer 14 · 2022-09-24 17:10:26

92

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Determining structure constants of a Lie Algebra from a Dynkin Diagram

Published on 24 Sep 2022 - 17:10

score 78 · Answer 15 · 2022-12-09 22:53:48

78

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How can I show that $\mathfrak{so}(5)\times\mathfrak{sl}(2)$ is isomorphic to a subalgebra of $F_4$?

Published on 09 Dec 2022 - 22:53

List Question

SU(2) Lie algebra: Derive the 3-dimensional adjoint matrix representation, from the given 2-dimensional fundamental matrix representation

SU(5) Lie algebra: Derive the 10-dimensional matrix representation, from the given 5-dimensional fundamental matrix representation

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

Explicit 28 Lie algebra matrix representations of $Spin(8)$: Two half-spinor representations

Explicit 45 Lie algebra generators as rank-16 matrix spinor representations of $(10)$

Prove that the following set is a dynkin system

Weights, Representations and Tensors

Counting and finding root subsystems

Lie algebra structure on $\mathbb{C}[G]$

What is a simple component of a root system?

Which Dynkin diagram is being spoken about here? Why is there a double line?

Visual guides request or dictionary for understanding Coxeter-Dynkin diagram

What is the name of the "duality" Dynkin diagram automorphism

Determining structure constants of a Lie Algebra from a Dynkin Diagram

How can I show that $\mathfrak{so}(5)\times\mathfrak{sl}(2)$ is isomorphic to a subalgebra of $F_4$?

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