Pieri rules for Schur functions in superspace

2016/08/30 by Jones, Miles, Lapointe, Luc
#05E05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.08577

Abstract

The Schur functions in superspace s_Λ and s_Λ are the limits q=t=0 and q=t=∞ respectively of the Macdonald polynomials in superspace. We prove Pieri rules for the bases s_Λ and s_Λ (which happen to be essentially dual). As a consequence, we derive the basic properties of these bases such as dualities, monomial expansions, and tableaux generating functions.

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