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This tag is used if a reference is needed in a paper or textbook on a specific result.

7 votes
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Locally compact + two-point homogeneous => Riemannian

Tits proves in [Tits, J. Sur certaines classes d'espaces homogènes de groupes de Lie, Acad. Roy. Belg. Cl. Sci. Mém. Coll. in 8$^\circ$ 29 (1955), no. 3, 268 pp. MR0076286], page 220, the following. I …
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12 votes
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spherical buildings for non-split groups

Misha, Tits' Lecture Note "Buildings of spherical type and finite BN pairs" gives a fairly explicit description of the buildings associated to the classical groups (not just the split ones). I also …
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1 vote

Lie groups and NSS+LC group

Yes to both questions, assuming that the group $G$ is locally compact and Hausdorff. In such a group one can always find an open subgroup $H$ which is isomorphic to $(K\times L)/\Gamma$, where $K$ is …
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6 votes

Conditions for a topological group to be a Lie group

Every locally compact and locally contractible topological group is a Lie group (Hofmann-Neeb arXiv:math/0609684).
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