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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 1st 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting some minimum <a href="https://ncatlab.org/nlab/revision/metric+Lie+algebra/1">v1</a>, <a href="https://ncatlab.org/nlab/show/metric+Lie+algebra">current</a>

   starting some minimum

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 7th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a table ([here](https://ncatlab.org/nlab/show/metric+Lie+algebra#Definition)) showing the string-diagrammtics of the structure of a metric Lie algebra <a href="https://ncatlab.org/nlab/revision/diff/metric+Lie+algebra/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/metric+Lie+algebra/5">v5</a>, <a href="https://ncatlab.org/nlab/show/metric+Lie+algebra">current</a>

   added a table (here) showing the string-diagrammtics of the structure of a metric Lie algebra

   diff, v5, current

3. • CommentRowNumber3.
   • CommentAuthorDavidRoberts
   • CommentTimeMay 6th 2022
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexIs the bilinear form assumed to be positive definite? If so, then we need the _negative_ of the Killing form on a semisimple Lie algebra, as the bare Killing form is _negative_ definite on such a Lie algebra (and in fact this characterises semisimple Lie algebras!)

   Is the bilinear form assumed to be positive definite? If so, then we need the negative of the Killing form on a semisimple Lie algebra, as the bare Killing form is negative definite on such a Lie algebra (and in fact this characterises semisimple Lie algebras!)

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 6th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI am wondering if you would be satisfied with the evident answer: "No." Or "No, and there is the usual sign convention."

   I am wondering if you would be satisfied with the evident answer: “No.” Or “No, and there is the usual sign convention.”

5. • CommentRowNumber5.
   • CommentAuthorDavidRoberts
   • CommentTimeMay 6th 2022
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexWell, based on the generality you pointed out at [[inner product]], I can accept it being whatever signature. But I think a note should be added pointing out it only gives a norm hence a metric when positive definite, perhaps according to the red herring principle.

   Well, based on the generality you pointed out at inner product, I can accept it being whatever signature. But I think a note should be added pointing out it only gives a norm hence a metric when positive definite, perhaps according to the red herring principle.