The role of bideterminants in the representation theory

nuloThis paper provides a brief survey discussing the role of bideterminants in the representation theory

Dominance Orders, Capelli Operators, and Straightening of Bideterminants

The study of the action of Capelli operators on bideterminants leads to a necessary condition—formulated in terms of the column dominance order of standard tableaux—for the non-vanishing of the straightening coefficients