Schurtype
Schurtype, or Schur type, is a term found in several branches of mathematics to denote a family, category, or property associated with the ideas of Issai Schur. It is not a single formal notion with a universal definition; its precise meaning depends on context and author.
In representation theory, Schur-type constructions are those governed by Schur functors and Schur–Weyl duality. Objects described
In group theory and related areas, some older texts refer to a Schur-type classification in connection with
In linear algebra, the Schur decomposition yields a Schur form of a matrix, an upper triangular representation
In combinatorics, Schur functions and their combinatorial models give rise to Schur-type objects, where symmetry and
Because the term is not standardized, readers should consult the specific source for the intended meaning in
See also: Schur functor; Schur–Weyl duality; Schur polynomial; Schur decomposition; Schur multiplier.