symmetric tensor

Let V be a vector spaceMathworldPlanetmath over a field. Let Sn be the symmetric groupMathworldPlanetmathPlanetmath on {1,,n}. An order-n tensor ( AVn is said to be if P(σ)A=A for all σSn, where P(σ) is the permutation operator associated to σ. The set of symmetric tensors in Vn is denoted by Sn(V).

Title symmetric tensor
Canonical name SymmetricTensor
Date of creation 2013-03-22 16:15:41
Last modified on 2013-03-22 16:15:41
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 5
Author Mathprof (13753)
Entry type Definition
Classification msc 15A03