Garsia-Haiman modules for hook partitions and Green polynomials with two variables

説明

We consider Garsia-Haiman modules for the symmetric groups, a doubly graded generalization of Springer modules. Our main interest lies in singly graded submodules of a Garsia-Haiman module. We show that these submodules satisfy a certain combinatorial property, and verify that this property is implied by a behavior of Macdonald polynomials at roots of unity.

収録刊行物

詳細情報 詳細情報について

  • CRID
    1390290699772085376
  • NII論文ID
    120006459524
  • DOI
    10.14943/83970
  • HANDLE
    2115/69628
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • JaLC
    • IRDB
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用可

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