Monday, January 17, 2011

notes for next discussion with derek

??something about relationship between bruhat classes and nilpotent lie algebras... ??what were some of the ideas here???.... ??something about nilradicals... ??also something about... bijectiveness of exponential map for nilpotent lie algebra, and bruhat classes (or something...) as shaped like vector spaces... or something... ??something about ... bruhat class dimension numerology and convex cones in root diagram... and so forth... ???also something about how weird it seems for tangent space of homogneeous space to be a lie algebra; what might that mean??? .... and so forth... oh yeah, and then there's all that stuff about correspondence between graded nilpotent lie algebras and... ??well, something about some sort of distributions ... ?? and so forth ...

??something about how to boost by a gimbal configuration?? ... or wait, maybe those are those idealized impossible boosts... ??... ??"sub-isometry" then??? ??"linear contraction" or something?? ...

??conformal completion of 2+1 flat spacetime... something about change of favorite event... interlocking bruhat classifications ... ??and so forth...

??answer to puzzle... light cone... basepoint singularity... zariski tangent space...

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