Question

How to calculate total number of roots in an A-type root system?

score 420 · Answer 1 · 2026-04-10 05:34:12

420

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How to calculate total number of roots in an A-type root system?

Published on 10 Apr 2026 - 5:34

score 119 · Answer 2 · 2026-04-13 20:58:18

119

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The Level of the Universal Central Extension of a Loop Group

Published on 13 Apr 2026 - 20:58

score 1.9k · Answer 3 · 2026-04-15 08:45:38

1.9k

Views

$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $

Published on 15 Apr 2026 - 8:45

score 158 · Answer 4 · 2026-04-10 17:35:15

158

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Dimension of the space of homomorphisms of Lie algebras

Published on 10 Apr 2026 - 17:35

score 45 · Answer 5 · 2026-04-12 11:52:58

45

Views

Is $[I,J]$ a vector space where $I,J$ are ideals of a Lie algebra

Published on 12 Apr 2026 - 11:52

score 96 · Answer 6 · 2026-04-11 10:01:52

96

Views

Weights of $\mathfrak{sl}_2(\mathbb{C})$ representation

Published on 11 Apr 2026 - 10:01

score 969 · Answer 7 · 2026-04-15 05:40:56

969

Views

Dimension of adjoint representation of symplectic real Lie algebra.

Published on 15 Apr 2026 - 5:40

score 365 · Answer 8 · 2026-04-09 15:55:11

365

Views

Infinite root systems

Published on 09 Apr 2026 - 15:55

score 3.6k · Answer 9 · 2026-04-13 18:39:49

3.6k

Views

Why is a simply connected Lie group determined by its Lie algebra?

Published on 13 Apr 2026 - 18:39

score 112 · Answer 10 · 2026-04-12 19:19:29

112

Views

Exponential map from loop algebras to loop groups

Published on 12 Apr 2026 - 19:19

score 945 · Answer 11 · 2026-04-15 06:56:47

945

Views

Relation between definitions of Lie bracket via adjoint representation and via left-invariant vector fields

Published on 15 Apr 2026 - 6:56

score 268 · Answer 12 · 2026-04-09 16:49:54

268

Views

Symmetric Variety

Published on 09 Apr 2026 - 16:49

score 576 · Answer 13 · 2026-03-25 20:42:01

576

Views

Every positive system of roots contains a unique simple system.

Published on 25 Mar 2026 - 20:42

score 1.1k · Answer 14 · 2026-04-16 14:59:42

1.1k

Views

$\mathfrak{sp}(4,\mathbb{R})$ isomorphic to $\mathfrak{so}(5,\mathbb{R})$.

Published on 16 Apr 2026 - 14:59

score 111 · Answer 15 · 2026-04-10 12:12:32

111

Views

In $R^3, ad_x $ is not diagonalizable

Published on 10 Apr 2026 - 12:12

List Question

How to calculate total number of roots in an A-type root system?

The Level of the Universal Central Extension of a Loop Group

$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $

Dimension of the space of homomorphisms of Lie algebras

Is $[I,J]$ a vector space where $I,J$ are ideals of a Lie algebra

Weights of $\mathfrak{sl}_2(\mathbb{C})$ representation

Dimension of adjoint representation of symplectic real Lie algebra.

Infinite root systems

Why is a simply connected Lie group determined by its Lie algebra?

Exponential map from loop algebras to loop groups

Relation between definitions of Lie bracket via adjoint representation and via left-invariant vector fields

Symmetric Variety

Every positive system of roots contains a unique simple system.

$\mathfrak{sp}(4,\mathbb{R})$ isomorphic to $\mathfrak{so}(5,\mathbb{R})$.

In $R^3, ad_x $ is not diagonalizable

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