Robinson-Schensted insertion, Schubert classes, Symmetric functions and generalizations, Grassmannian, combinatorial rule, Schur function, projective representations of symmetric groups, Schur \(Q\)-function, Hall-Littlewood symmetric function, jeu-de-taquin, partition, Theoretical Computer Science, skew \(Q\)-function, Computational Theory and Mathematics, Combinatorial aspects of representation theory, Discrete Mathematics and Combinatorics, Littlewood-Richardson rule, recording tableaux, Sagan's shifted insertion