825
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Descent-Cycling in Schubert Calculus

Pages 345-353 | Published online: 04 Apr 2012

REFERENCES

  • Bergeron , N. and Sottile , F. 1998 . “Schubert polynomials, the Bruhat order, and the geometry of flag manifolds” . Duke Math. J. , 95 ( 2 ) : 373 – 423 . [Bergeron and Sottile 1998]
  • Bernšte⌣in , I. N. , Gel'fand , I. M. and Gel'fand , S. I. 1973 . “Schubert cells, and the cohomology of the spaces G/P” . Uspehi Mat. Nauk , 28 ( 3 ) : 3 – 26 . [Bernstein et al. 1973], In Russian
  • Demazure , M. 1974 . “Désingularisation des variétés de Schubert géneralisé es” . Ann. Sci. École Norm. Sup. (4) , 7 : 53 – 88 . [Demazure 1974], Collection of articles dedicated to Henri Cartan on the occasion of his 70th birthday, I
  • Graham , W. 1999 . “Positivity in equivariant Schubert calculus” [Graham 1999], www.arxiv.org/abs/math.AG/9908172See preprint
  • Knutson , A. and Tao , T. “Puzzles, (equivariant) cohomology of Grassmannians, and the Molev–Sagan rule” [Knutson and Tao ≥ 2001], In preparation
  • Kostant , B. and Kumar , S. 1986 . “The nil Hecke ring and cohomology of G/P for a KacMoody group G” . Adv. in Math. , 62 ( 3 ) : 187 – 237 . [Kostant and Kumar 1986]
  • Lascoux , A. and Schützenberger , M.-P. 1982 . “Polynômes de Schubert” . C. R. Acad. Sci. Paris Sér. I. Math. , 294 ( 13 ) : 447 – 450 . [Lascoux and Schützenberger 1982]
  • Monk , D. 1959 . “The geometry of flag manifolds” . Proc. London Math. Soc. (3) , 9 : 253 – 286 . [Monk 1959]
  • Robinson , S. “The equivariant Pierirule” [Robinson ≥ 2001], In preparation
  • Sottile , F. 1996 . “Pieri's formula for flag manifolds and Schubert polynomials” . Ann. Inst. Fourier (Grenoble) , 46 ( 1 ) : 89 – 110 . [Sottile 1996]
  • Veigneau , S. 1998 . “ACE, an algebraic combinatorics environment for the computer algebra system Maple: user's reference manual, version 3.0” France : Université de Marne-la-Vallée. . [Veigneau 1998], Technical Report IGM 98–11

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.