### 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 language | English (US) |
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Pages | 505-516 |

Number of pages | 12 |

State | Published - Dec 1 2011 |

Event | 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 - Reykjavik, Iceland Duration: Jun 13 2011 → Jun 17 2011 |

### Conference

Conference | 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 |
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Country | Iceland |

City | Reykjavik |

Period | 6/13/11 → 6/17/11 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*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.

**O-Hecke algebra actions on coinvariants and flags.** / Huang, Jia.

Research output: Contribution to conference › Paper

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T1 - O-Hecke algebra actions on coinvariants and flags

AU - Huang, Jia

PY - 2011/12/1

Y1 - 2011/12/1

N2 - 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.

AB - 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.

KW - 0-Hecke algebra

KW - Demazure operator

KW - Descent monomial

KW - Ribbon number

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SP - 505

EP - 516

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