By William Fulton
Word: it is a flatbed test (2 publication pages = 1 dossier page)
This booklet develops the combinatorics of younger tableaux and indicates them in motion within the algebra of symmetric capabilities, representations of the symmetric and normal linear teams, and the geometry of flag kinds. the 1st a part of the e-book is a self-contained presentation of the uncomplicated combinatorics of younger tableaux, together with the impressive structures of "bumping" and "sliding", and several other attention-grabbing correspondences. partially II the writer makes use of those effects to review representations with geometry on Grassmannians and flag manifolds, together with their Schubert subvarieties, and the similar Schubert polynomials. a lot of this fabric hasn't ever earlier than seemed in publication shape. there are lots of workouts all through, with tricks and solutions supplied. Researchers in illustration thought and algebraic geometry in addition to in combinatorics will locate this e-book fascinating and necessary, whereas scholars will locate the intuitive presentation effortless to stick with.