nLab
multilinear algebra

Multilinear algebra studies multilinear maps and constructions. These are usually formulated as linear-algebra constructions on tensor products (especially tensor powers) of vector spaces, and their subspaces and quotient spaces that have some symmetry with respect to a natural action of a symmetric group, for example the exterior and symmetric powers of vector spaces, and generalizations for vector bundles, coherent sheaves, etc., and also those related to constructions relating other Ferrers–Young tableaux, not only symmetrizers and antisymmetrizers.

Related entries include Young diagram, tensor algebra, symmetric algebra, exterior algebra, Schur functor, tensor, etc.

Last revised on June 24, 2017 at 23:53:46. See the history of this page for a list of all contributions to it.