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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorDavidRoberts
• CommentTimeMay 6th 2022

Outlined how the Killing form is often normalised making algebra elements corresponding to long roots have length $\sqrt{2}$. Planning to give the explicit examples for all the simple compact real forms.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeMay 6th 2022

I wouldn’t think it’s sensible to say (from your addition here)

an inner product (hence positive definite)

For one, this is explicitly not what it says at inner product.

• CommentRowNumber3.
• CommentAuthorDavidRoberts
• CommentTimeMay 7th 2022

Added details of the basic inner products for the (compact forms of the) simple real Lie algebras, and a citation for them

• CommentRowNumber4.
• CommentAuthorDavidRoberts
• CommentTimeMay 7th 2022

Removed the offending clause “hence positive definite” into a more neutral position.