A k-tableau characterization of k-Schur functions

• Autores: Luc Lapointe, Jennifer Morse
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 213, Nº 1, 2007, págs. 183-204
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.