A Littlewood-Richardson rule for the Macdonald inner product and bimodules over wreath products

Erik Carlsson*, Anthony M. Licata

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    We prove a Littlewood-Richardson type formula for (sλ/μ,sν/κ)tk,t, the pairing of two skew Schur functions in the Macdonald inner product at q=tk for positive integers k. This pairing counts graded decomposition numbers in the representation theory of wreath products of the algebra C[x]/xk and symmetric groups.

    Original languageEnglish
    Pages (from-to)520-537
    Number of pages18
    JournalJournal of Algebra
    Volume454
    DOIs
    Publication statusPublished - 15 May 2016

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