Abstract
The coinvariant algebra is a quotient of the polynomial ring Q[x1,…,xn] whose algebraic properties are governed by the combinatorics of permutations of length n. A word w=w1…wn over the positive integers is packed if whenever i>2 appears as a letter of w, so does i−1. We introduce a quotient Sn of Q[x1,…,xn] which is governed by the combinatorics of packed words. We relate our quotient Sn to the generalized coinvariant rings of Haglund, Rhoades, and Shimozono as well as the superspace coinvariant ring.
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