A Multivariate “inv” Hook Formula for Forests

نویسندگان

  • FLORENT HIVERT
  • VICTOR REINER
چکیده

Björner and Wachs provided two q-generalizations of Knuth’s hook formula counting linear extensions of forests: one involving the major index statistic, and one involving the inversion number statistic. We prove a multivariate generalization of their inversion number result, motivated by specializations related to the modular invariant theory of finite general linear groups.

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تاریخ انتشار 2011