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Almost all introductory texts on Schubert calculus discuss the Grassmannian case only. Does there exist a nice discussion of the full flag manifold case $SU(N)/T^{N-1}$? A low dimensional example along the lines of this excellent answer would be appreciated.

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    $\begingroup$ Have you looked at Part III of Fulton's "Young tableaux"? $\endgroup$
    – Sam Hopkins
    Commented Oct 26, 2015 at 0:10
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    $\begingroup$ You can take a look of Michel Brion' lecture note on flag variety $\endgroup$
    – Ben
    Commented Oct 26, 2015 at 0:44
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    $\begingroup$ The general case, for every type, is developed by Borel, "Sur la cohomologie ...", Kostant and Bernstein-Gelfand-Gelfand, "Schubert Cells and Cohomology of the Spaces $G/P$". Of course that is not the end of the story: for many purposes the general method is inefficient or insufficient for some other purpose (e.g., description of the quantum cohomology rather than just the cohomology). $\endgroup$
    – Jason Starr
    Commented Oct 26, 2015 at 10:54

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