Jones, Miles Eli and Lapointe, Luc - Pieri rules for Schur functions in superspace

dmtcs:2497 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Pieri rules for Schur functions in superspace

Authors: Jones, Miles Eli and Lapointe, Luc

The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace. We present the elementary properties of the bases $s_\Lambda$ and $\overline{s}_\Lambda$ (which happen to be essentially dual) such as Pieri rules, dualities, monomial expansions, tableaux generating functions, and Cauchy identities.

Source : oai:HAL:hal-01337836v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Submitted on: November 21, 2016
Keywords: Schur functions,Key polynomials,symmetric functions in superspace,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]