O-Hecke algebra actions on coinvariants and flags

Research output: Contribution to conferencePaper

Abstract

By investigating the action of the 0-Hecke algebra on the coinvariant algebra and the complete flag variety, we interpret generating functions counting the permutations with fixed inverse descent set by their inversion number and major index.

Original languageEnglish (US)
Pages505-516
Number of pages12
Publication statusPublished - Dec 1 2011
Event23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 - Reykjavik, Iceland
Duration: Jun 13 2011Jun 17 2011

Conference

Conference23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11
CountryIceland
CityReykjavik
Period6/13/116/17/11

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Keywords

  • 0-Hecke algebra
  • Demazure operator
  • Descent monomial
  • Ribbon number

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Huang, J. (2011). O-Hecke algebra actions on coinvariants and flags. 505-516. Paper presented at 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11, Reykjavik, Iceland.