I have added a brief example (here) mentioning that the usual study of crystallography through crystallographic symmetry groups is much in the spirit of Klein geometry (even though I have not yet seen an author admitting this).

]]>I have added the publication data and the DOI for the German original, and the projeceuclid-link for the English translation of:

Felix Klein,

*Vergleichende Betrachtungen über neuere geometrische Forschungen*(1872) Mathematische Annalen volume 43, pages 63–100 1893 (doi:10.1007/BF01446615)English translation by M. W. Haskell:

*A comparative review of recent researches in geometry*, Bull. New York Math. Soc. 2, (1892-1893), 215-249. (euclid:1183407629 KleinRetyped.pdf:file, )

will give this its own `category:reference`

-page now

thanks for catching. It was, luckily, correct in the table right below that erroneous line.

]]>$Iso(d,1)$ contains parity-reversal and time-reversal. To obtain $\mathbb{R}^{d+1}$ from a quotient of $Iso(d,1)$, we must quotient these out. Therefore the stabilizer subgroup $H$ is $O(d,1)$ rather than $SO(d,1)$.

Anonymous

]]>Added to *Klein geometry* a section *History* with quotations for where exactly Klein actually speaks about $G/H$.

(This key passages is a bit hidden in Klein’s text, appearing at a somewhat unexpected point somewhere in the middle of a 35 page document.)

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