Revision 932293 of "Template:Lie groups" on enwikiversity{{PhysicsNavigation
|Name = Lie groups
|Image =E8Petrie.svg
|Topic1 = [[Classical group]]s
|Items1 = [[General linear group]] GL(n)<br /> [[Special linear group]] SL(n)<br /> [[Orthogonal group]] O(n)<br /> [[Special orthogonal group]] SO(n)<br /> [[Unitary group]] U(n)<br /> [[Special unitary group]] SU(n)<br /> [[Symplectic group]] Sp(n)
|Topic2 = [[Simple Lie group]]s
|Items2 = [[List of simple Lie groups]] <br />
Infinite simple Lie groups: [[Simple Lie group#A_series|A<sub>n</sub>]], [[Simple Lie group#B_series|B<sub>n</sub>]], [[Simple Lie group#C_series|C<sub>n</sub>]], [[Simple Lie group#D_series|D<sub>n</sub>]], <br /> Exceptional simple Lie groups: [[G2 (mathematics)|G<sub>2</sub>]] [[F4 (mathematics)|F<sub>4</sub>]]
[[E6 (mathematics)|E<sub>6</sub>]] [[E7 (mathematics)|E<sub>7</sub>]]
[[E8 (mathematics)|E<sub>8</sub>]]
|Topic3 = [[Table of Lie groups|Other Lie groups]]
|Items3 = [[Circle group]] <br /> [[Lorentz group]] <br /> [[Poincaré group]] <br /> [[Conformal group]]<br /> [[Diffeomorphism group]]<br /> [[Loop group]]<br />
|Topic4 = [[Lie algebra]]s
|Items4 = [[Exponential map]] <br /> [[Adjoint representation of a Lie group]] <br /> [[Adjoint representation of a Lie algebra]] <br /> [[Killing form]] <br /> [[Lie point symmetry]]
|Topic5 = Structure of [[semi-simple Lie group]]s
|Items5 = [[Dynkin diagram]]s <br /> [[Cartan subalgebra]] <br /> [[Root system]] <br /> [[Real form]] <br /> [[Complexification]] <br /> [[Split Lie algebra]] <br /> [[Compact Lie algebra]]
|Topic6 = [[Representation theory]]
|Items6 = [[Representation of a Lie group]] <br /> [[Representation of a Lie algebra]]
|Topic7 = Lie groups in [[Physics]]
|Items7 = [[Particle physics and representation theory]] <br /> [[Representation theory of the Lorentz group]] <br /> [[Representation theory of the Poincaré group]] <br /> [[Representation theory of the Galilean group]]
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[[zh:Template:Lie groups]]
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