List questions from lie-algebras

Published on 23 Apr 2026 - 21:45

132

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Identification of $H$ with $H^{*}$ relative the Killing-form

Published on 09 Apr 2026 - 10:22

167

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Cartan integers are preserved by isomorphism?

Published on 11 Apr 2026 - 17:55

416

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Difference between infinitesimal motion and finite motion

Published on 12 Apr 2026 - 11:31

78

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How do roots act on weights?

Published on 09 Apr 2026 - 1:28

613

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Vector valued 2-forms which satisfy Jacobi Identity

Published on 12 Apr 2026 - 17:50

118

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Anyone know a good standard reference for Lie group and Lie algebra facts?

Published on 16 Apr 2026 - 9:55

568

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What is the vector product $(x\wedge y)\wedge z$?

Published on 15 Apr 2026 - 21:22

248

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How to transform roots/weights from the simple root basis to the H-basis?

Published on 11 Apr 2026 - 6:11

198

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Map for roots of a Lie group to roots of a special subalgebra?

Published on 16 Apr 2026 - 4:06

1.3k

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Invariant subspaces of Lie group vs invariant subspaces of Lie algebra

Published on 12 Apr 2026 - 21:21

99

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Calculating the Lie algebra representation of the regular representation on subspace of functions on $\mathbb R$.

Published on 14 Apr 2026 - 0:31

110

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Root space $L_\alpha$ is completely contained in simple ideal?

Published on 13 Apr 2026 - 22:42

492

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gradient flow on $SU(n)$

Published on 14 Apr 2026 - 12:29

440

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How can one assume that an isomorphism of root spaces $\Phi\to\Phi'$ comes from an isometry?

Published on 12 Apr 2026 - 14:48

List Question

Show Lie bracket left invariant

Identification of $H$ with $H^{*}$ relative the Killing-form

Cartan integers are preserved by isomorphism?

Difference between infinitesimal motion and finite motion

How do roots act on weights?

Vector valued 2-forms which satisfy Jacobi Identity

Anyone know a good standard reference for Lie group and Lie algebra facts?

What is the vector product $(x\wedge y)\wedge z$?

How to transform roots/weights from the simple root basis to the H-basis?

Map for roots of a Lie group to roots of a special subalgebra?

Invariant subspaces of Lie group vs invariant subspaces of Lie algebra

Calculating the Lie algebra representation of the regular representation on subspace of functions on $\mathbb R$.

Root space $L_\alpha$ is completely contained in simple ideal?

gradient flow on $SU(n)$

How can one assume that an isomorphism of root spaces $\Phi\to\Phi'$ comes from an isometry?

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