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  1. Home > Articles & Issues >
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  3. 0-Hecke algebra acti ...
Conference paper

0-Hecke algebra actions on coinvariants and flags

Jia Huang ORCID (1)
(1) School of Mathematics
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Imported on
January 31, 2017
Published on
December 31, 2010
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Proceedings
DOI
10.46298/dmtcs.2929
License
https://about.hal.science/hal-authorisation-v1
National Science Foundation
1001933
Reflection Group Combinatorics
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573
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621
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0-Hecke algebra actions on coinvariants and flags

Jia Huang ORCID (1)
(1) School of Mathematics
Abstract
English
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.
French
En étudiant l'action de l'algèbre de 0-Hecke sur l'algèbre coinvariante et la variété de drapeaux complète, nous interprétons les fonctions génératrices qui comptent les permutations avec un ensemble inverse de descentes fixé, selon leur nombre d'inversions et leur "major index''.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • 0-Hecke algebra
  • Ribbon number
  • Descent monomial
  • Demazure operator.
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Source: OpenCitations

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