- #1
holy_toaster
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The following question may be trivial, but I just can't get it figuered out:
Consider the real numbers R with the addition operation + as a Lie Group (R,+). What is the Lie Algebra of this Lie Group? Is it again (R,+), this time considered as a vector space? If so, what is the exponential map and the adjoint representation of the Lie group on the Lie Algebra?
Consider the real numbers R with the addition operation + as a Lie Group (R,+). What is the Lie Algebra of this Lie Group? Is it again (R,+), this time considered as a vector space? If so, what is the exponential map and the adjoint representation of the Lie group on the Lie Algebra?