tensorinen
Tensorinen is a term encountered in certain mathematical discussions as a proposed generalization of tensors. It describes a class of multilinear objects that carry an additional discrete grading, called the tensorinen degree, alongside their traditional tensor indices. Formally, for a finite-dimensional vector space V over a field F and a fixed abelian grading group G, a tensorinen of type (p,q) consists of a multilinear map T: V*^p × V^q → F whose components are labeled not only by the usual indices i1,...,ip, j1,...,jq but also by a degree e ∈ G. Under a change of basis, the components transform like ordinary tensors and additionally carry a weight determined by e.
Operations on tensorinen mirror those of ordinary tensors, including addition, scalar multiplication, and contraction. One can
In practice, tensorinen has been proposed as a framework to encode discrete symmetries or parity information