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Timeline for metric in three sphere and SU(2)

Current License: CC BY-SA 3.0

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Dec 2, 2018 at 20:50 review Close votes
Dec 3, 2018 at 8:47
Jul 5, 2016 at 8:30 vote accept phy_math
Jul 5, 2016 at 3:23 answer added user110373 timeline score: 2
Jul 5, 2016 at 3:18 comment added Malkoun For 1, compute $dg$, which is a 2 by 2 matrix of $1$-forms. Then compute dg†, which is also a 2 by 2 matrix of $1$-forms. After that, take the matrix product dg†dg, which is a 2 by 2 matrix of $(0,2)$ forms (by a $(0,2)$ form I mean a sum of tensor products of $1$-forms, i.e. a section of $T^* \otimes T^*$), and then take the trace.
Jul 5, 2016 at 2:10 history edited phy_math CC BY-SA 3.0
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Jul 5, 2016 at 1:29 comment added Selene Routley Do you have any Lie theoretical background? You don't need it to write out the expressions, but it would help me give some hints without writing it out in full (time is tight this morning!) You're essentially working out what the Killing form becomes when you translate your tangent space away from the tangent to the identity to the tangent to another group member.
Jul 5, 2016 at 1:17 history asked phy_math CC BY-SA 3.0