Question

Exercise on root system of type $A_n$

score 396 · Answer 1 · 2026-03-31 03:43:33

396

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Exercise on root system of type $A_n$

Published on 31 Mar 2026 - 3:43

score 96 · Answer 2 · 2026-03-29 20:08:04

96

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Which of these "minimal" semisimple Lie algebras aren't simple?

Published on 29 Mar 2026 - 20:08

score 537 · Answer 3 · 2026-03-25 20:39:42

537

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Finding infinitesimal Mobius transformations

Published on 25 Mar 2026 - 20:39

score 369 · Answer 4 · 2026-03-27 20:22:27

369

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Equivalence of Two Cartan Subalgebra Definitions in Semi-Simple Lie Algebra

Published on 27 Mar 2026 - 20:22

score 457 · Answer 5 · 2026-03-27 20:21:24

457

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Root space decomposition of $\mathfrak{so}_n$

Published on 27 Mar 2026 - 20:21

score 97 · Answer 6 · 2020-02-07 14:35:15

97

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Prove that $\mathfrak{so}(2n)$ has a subalgebra isomorphic to $\mathfrak{gl}(n)$.

Published on 07 Feb 2020 - 14:35

score 37 · Answer 7 · 2026-02-23 01:54:48

37

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What are the irreducible representations of $\mathbf{10}\otimes \mathbf{3}$ in $SU(3)$

Published on 23 Feb 2026 - 1:54

score 73 · Answer 8 · 2020-02-07 17:25:29

73

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Irreducible representatin of $\mathfrak{so}_{p,q}$ in $\mathbb{R}^{p+q}$

Published on 07 Feb 2020 - 17:25

score 50 · Answer 9 · 2026-04-04 10:15:59

50

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Small subgroups of $GL_n$ and Lie algebras

Published on 04 Apr 2026 - 10:15

score 154 · Answer 10 · 2026-04-04 10:18:05

154

Views

Two Lie Group homomorphisms are equal if their induced Lie algebra homomorphisms are equal and $G$ is connected

Published on 04 Apr 2026 - 10:18

score 33 · Answer 11 · 2020-02-08 13:50:11

33

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Weibels Proof that $H^{2}$ classifies extensions

Published on 08 Feb 2020 - 13:50

score 353 · Answer 12 · 2026-03-26 03:01:34

353

Views

Prove Taylor expansion $(\mathrm{exp}\,tX)(\mathrm{exp}\,tY)=\mathrm{exp}(t(X+Y)+\frac{1}{2}t^2[X,Y]+o(t^2))$

Published on 26 Mar 2026 - 3:01

score 93 · Answer 13 · 2026-04-03 01:21:45

93

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In free special Jordan algebra is valid $T(x,y,z,t) = \frac{1}{4}([x,z] \circ [t,y] + [x,t] \circ [z,y])$.

Published on 03 Apr 2026 - 1:21

score 55 · Answer 14 · 2020-02-11 05:45:19

55

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Decomposition of a reducible representation

Published on 11 Feb 2020 - 5:45

score 36 · Answer 15 · 2026-03-25 22:05:44

36

Views

Reference for application of the theory of weights and weight-spaces to $\mathfrak{su}(2)$ and $\mathfrak{su}(3)$

Published on 25 Mar 2026 - 22:05

List Question

Exercise on root system of type $A_n$

Which of these "minimal" semisimple Lie algebras aren't simple?

Finding infinitesimal Mobius transformations

Equivalence of Two Cartan Subalgebra Definitions in Semi-Simple Lie Algebra

Root space decomposition of $\mathfrak{so}_n$

Prove that $\mathfrak{so}(2n)$ has a subalgebra isomorphic to $\mathfrak{gl}(n)$.

What are the irreducible representations of $\mathbf{10}\otimes \mathbf{3}$ in $SU(3)$

Irreducible representatin of $\mathfrak{so}_{p,q}$ in $\mathbb{R}^{p+q}$

Small subgroups of $GL_n$ and Lie algebras

Two Lie Group homomorphisms are equal if their induced Lie algebra homomorphisms are equal and $G$ is connected

Weibels Proof that $H^{2}$ classifies extensions

Prove Taylor expansion $(\mathrm{exp}\,tX)(\mathrm{exp}\,tY)=\mathrm{exp}(t(X+Y)+\frac{1}{2}t^2[X,Y]+o(t^2))$

In free special Jordan algebra is valid $T(x,y,z,t) = \frac{1}{4}([x,z] \circ [t,y] + [x,t] \circ [z,y])$.

Decomposition of a reducible representation

Reference for application of the theory of weights and weight-spaces to $\mathfrak{su}(2)$ and $\mathfrak{su}(3)$

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