What's the deal with [A,B] commutators?
No.12423727 ViewReplyOriginalReport
Quoted By: >>12424060 >>12424153 >>12424303 >>12424360
If you have a Lie algebra why cant you just list the group multiplication rules to define it? Say you have an algebra with dimension 3...there are 3 generators so there are 9 combinations
AA, AB, AC, BA, BB, BC, CA, CB, CC, each equating some linear combination of A, B, C.
And that defines the group operations! This is how quaternions are usually defined so what's with the random-ass "commutator relations constant structure"?
AA, AB, AC, BA, BB, BC, CA, CB, CC, each equating some linear combination of A, B, C.
And that defines the group operations! This is how quaternions are usually defined so what's with the random-ass "commutator relations constant structure"?
