Timeline for Lifting of SO(3) action
Current License: CC BY-SA 3.0
2 events
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| Sep 15, 2019 at 1:16 | comment | added | Victor V Albert | I'm playing around with embedding a homogeneous space G/H into the space G. Picking G=SO3, H=Zn, yields a family of lens spaces parameterized by n. Projecting the left and right regular representation operators of G, which form SO3 x SO3, onto SO3/Zn seems to yield a representation of SO3 x O2, with the SO3 being the induced representation of SO3 on the lens space. Anyone know what to think of the O2 part? (Picking G=SO3, H=SO2, and doing the same thing yields the action of SO3 x Z2 on the two sphere, which is clearly O3, the group of proper and improper rotations.) | |
| Oct 13, 2013 at 16:12 | history | answered | Danny Ruberman | CC BY-SA 3.0 |