Kostant polynomials and the cohomology ring for G/B.

@article{Billey1997KostantPA,
  title={Kostant polynomials and the cohomology ring for G/B.},
  author={Sara C. Billey},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={1997},
  volume={94 1},
  pages={
          29-32
        }
}
  • Sara C. Billey
  • Published 1997 in
    Proceedings of the National Academy of Sciences…
The Schubert calculus for G/B can be completely determined by a certain matrix related to the Kostant polynomials introduced in section 5 of Bernstein, Gelfand, and Gelfand [Bernstein, I., Gelfand, I. & Gelfand, S. (1973) Russ. Math. Surv. 28, 1-26]. The polynomials are defined by vanishing properties on the orbit of a regular point under the action of the Weyl group. For each element w in the Weyl group the polynomials also have nonzero values on the orbit points corresponding to elements… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 10 references

Combinatorial B n analogues of Schubert polynomials, to appear Trans. of AMS

Combinatorial B n analogues of Schubert polynomials, to appear Trans. of AMS • 1995

Symmetric Functions, and Schubert Polynomials, Proceedings of the Conference on Power Series and Algebraic Combinatorics

S Fomin, A N Kirillov, Yang-Baxter Equation
Symmetric Functions, and Schubert Polynomials, Proceedings of the Conference on Power Series and Algebraic Combinatorics • 1993

Reeection groups and Coxeter groups

E Humphreys
Reeection groups and Coxeter groups • 1990

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G.

Proceedings of the National Academy of Sciences of the United States of America • 1986

Interpolation de Newton A Plusieurs Variables, Seminare D'Algebre

A Lascoux, M P Schutzenberger
Lecture Notes in Math • 1983

C.R. Acad. Sci. Paris

A Lascoux, M.-P Schutzenberger, Polynomes De Schubert
C.R. Acad. Sci. Paris • 1982

Determinantal Formulas for Orthogonal and Symplectic Degeneracy Loci

W Fulton
Determinantal Formulas for Orthogonal and Symplectic Degeneracy Loci

This work was done with the support of a National Science Foundation Postdoctoral Fellowship

Bibliography