Preprint
A k-tableau characterization of k-Schur functions
ArXiv.org
24 May 2005
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 LapointeJennifer Morse - Drexel University, Mathematics
- Publication Details
- ArXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991022125026804721