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Operator Calculus forQ̃-Polynomials and Schubert Polynomials

✍ Scribed by Alain Lascoux; Piotr Pragacz

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
522 KB
Volume
140
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.

✦ Synopsis

de die a maria Contents.

Introduction.

  1. Divided differences associated with the hyperoctahedral groups. 2. Reproducing kernels and a vanishing property.

  2. Action of s on the basis [S + } Q I ] an inductive approach. 4. Action of s on the basis [S + } Q I ] via the vanishing property.

5. Key formula and vertex operators.

Appendices. A (written collaboration with J. Ratajski). Symplectic Schubert polynomials aÁ la polonaise. B. Three geometric applications.

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