Revision #704 → #988 · back to history
addedAdjoint representation of a Lie group21645c933b20
addedAdjoint representation of GL(n)91445d980fb2
addedInner automorphism map Ψ35d66cf8bbeb
addedAd_g as derivative of Ψ_gbbf3a8c3d7bc
addedAdjoint representation of G2693e9e7995e
addedAd formula for linear Lie groups7b4677cfde81
addedAdjoint as isotropy representation4d85db606f78
addedAdjoint representation of the Lie algebra (via derivative of Ad)df2cf1e4036e
addedAd exp(x) = exp(ad x)ebea6e35b9a2
addedAdjoint endomorphism ad_x4f7dfddc52ec
addedad is a Lie algebra homomorphism (adjoint representation)583fc4a88a32
addedKernel of ad is the center444944aea870
addedad_z is a derivation (Leibniz law)cac69131f0a5
addedad is differential of Ad at identity7ab9963a5d59
addedLeibniz-like formula for ad4e83bd6d40b8
addedMatrix elements of ad via structure constants79741fa55045
addedAdjoint representation of su(2) is so(3)5d0365f8b9d0
addedAdjoint representation of abelian group is trivialb1da96a0feae
addedAdjoint for matrix Lie groupc835534a5cea
addedAdjoint representation of SL(2, R)e7495a381ba3
addedKernel of Ad and faithfulness64a57fbeab09
addedAdjoint group via Lie's third theorem30ad64b3bb45
addedImage of adjoint representation equals adjoint groupc423c0b94d13
addedNon-zero weights form a root systemb25475aa0d93
addedRoot system of SL(n, R)3489c1f470f3
addedRoot system of SL(2, R)3dc08d4a6930
addedCo-adjoint representation57229d9cb227
addedKirillov: co-adjoint orbits are symplectic manifolds3a651473557c