Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 37911

Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

12 votes
Accepted

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 …
Linus's user avatar
  • 658
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).
Linus's user avatar
  • 658
4 votes
Accepted

Embedding flag manifolds of real semisimple lie group

If $P$ is any parabolic subgroup in a semisimple real Lie group $G$, one can construct a $G$-equivariant embedding of the partial flag manifold $G/P$ into some (high dimensional) real projective space …
Linus's user avatar
  • 658
3 votes

Is every contractible homogeneous space of a connected Lie group homeomorphic to a Euclidean...

I don't have an answer. Note that $H$ need not be compact. For example, $G$ could be the universal covering of $SL_2\mathbb R$, and $H$ could be a $1$-dimensional closed subgroup. Here are some more t …
Linus's user avatar
  • 658
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 …
Linus's user avatar
  • 658