Journal article
A k-tableau characterization of k-Schur functions
Advances in mathematics (New York. 1965), v 213(1), pp 183-204
01 Aug 2007
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 introduction 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.
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Details
- Title
- A k-tableau characterization of k-Schur functions
- Creators
- Luc Lapointe - Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, ChileJennifer L Morse - Drexel University
- Publication Details
- Advances in mathematics (New York. 1965), v 213(1), pp 183-204
- Publisher
- Elsevier
- Number of pages
- 22
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000247381700006
- Scopus ID
- 2-s2.0-34247270681
- Other Identifier
- 991014632431504721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics