User:City Bube/Books/LIE ALGEBRAS

LIE ALGEBRAS

 * LIE ALGEBRA
 * Baker–Campbell–Hausdorff formula
 * Matrix exponential
 * Exponential map (Lie theory)
 * Logarithm of a matrix
 * Derivative of the exponential map


 * REPRESENTATIONS
 * Representation theory
 * Group representation
 * Adjoint representation
 * Adjoint representation of a Lie algebra


 * LINEAR MAPS
 * Linear map
 * Spectral theorem
 * Spectrum (functional analysis)
 * Characteristic polynomial
 * Group action
 * Bounded operator


 * SOME GROUPS
 * Isometry
 * Symmetry group
 * Galilean transformation
 * Poincaré group
 * Lorentz group


 * MISCELLANEOUS
 * Galois theory
 * Exponential function
 * Weight (representation theory)
 * Flow (mathematics)