A classification of SL(<i>n</i>) invariant valuations
A classification of SL(<i>n</i>) invariant valuations
A classification of upper semicontinuous and SL.n/ invariant valuations on the space of n-dimensional convex bodies is established.As a consequence, complete characterizations of centro-affine and L p affine surface areas are obtained.The proofs make use of a new SL.n/ shaping process for convex bodies.In his 1900 ICM Address, David Hilbert …