Highly Influenced

# C O ] 2 3 N ov 2 00 8 Affine insertion and Pieri rules for the affine Grassmannian

@inproceedings{Lam2006CO, title={C O ] 2 3 N ov 2 00 8 Affine insertion and Pieri rules for the affine Grassmannian}, author={Thomas Lam and Luc Lapointe and Jennifer Morse and Mark Shimozono}, year={2006} }

- Published 2006

We study combinatorial aspects of the Schubert calculus of the affine Grassmannian Gr associated with SL(n, C). Our main results are: • Pieri rules for the Schubert bases of H∗(Gr) and H∗(Gr), which expresses the product of a special Schubert class and an arbitrary Schubert class in terms of Schubert classes. • A new combinatorial definition for k-Schur functions, which represent the Schubert basis of H∗(Gr). • A combinatorial interpretation of the pairing H∗(Gr)×H∗(Gr) → Z. These results are… CONTINUE READING

Highly Cited

This paper has 23 citations. REVIEW CITATIONS

#### From This Paper

##### Figures, tables, results, connections, and topics extracted from this paper.

15 Extracted Citations

21 Extracted References

Similar Papers