Packed words and quotient rings |
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Institution: | Department of Mathematics, University of California, San Diego, La Jolla, CA, 92093-0112, USA |
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Abstract: | The coinvariant algebra is a quotient of the polynomial ring whose algebraic properties are governed by the combinatorics of permutations of length n. A word over the positive integers is packed if whenever appears as a letter of w, so does . We introduce a quotient of which is governed by the combinatorics of packed words. We relate our quotient to the generalized coinvariant rings of Haglund, Rhoades, and Shimozono as well as the superspace coinvariant ring. |
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Keywords: | Coinvariant algebra Symmetric function Packed word |
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