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A k-tableau characterization of k-Schur functions
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/1894
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| Title: | A k-tableau characterization of k-Schur functions |
| Authors: | Lapointe, Luc
Morse, Jennifer |
| Keywords: | Macdonald polynomials
Kostka polynomials
model
coefficients
formula
analogs |
| Issue Date: | 24-May-2005 |
| Publisher: | Elsevier Science |
| Citation: | Advances in Mathematics, 213(1), pp. 183-204. |
| Abstract: | We study k-Schur functions characterized by k-tableaux, proving
combinatorial properties such as a k-Pieri rule and a k-conjugation. This new
approach relies on developing the theory of k-tableaux, and includes the intro-
duction of a weight-permuting involution on these tableaux that generalizes
the Bender-Knuth involution. This work lays the groundwork needed to prove
that the set of k-Schur Littlewood-Richardson coefficients contains the 3-point
Gromov-Witten invariants; structure constants for the quantum cohomology
ring. |
| URI: | http://hdl.handle.net/1860/1894
http://lanl.arxiv.org/abs/math/0505519v1 |
| Appears in Collections: | Faculty Research and Publications (Mathematics)
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