Pieri rules for Schur functions in superspace

The Schur functions in superspace sΛ 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 sΛ 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.