Miles Eli Jones ; Luc Lapointe
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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)
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https://doi.org/10.46298/dmtcs.2497
Pieri rules for Schur functions in superspaceArticle
Authors: Miles Eli Jones 1; Luc Lapointe 1
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Miles Eli Jones;Luc Lapointe
1 Instituto de Matemática y Física - Universidad de Talca
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.