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
StatePublished - 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

Fingerprint

Major Index
Flag Variety
Hecke Algebra
Descent
Generating Function
Counting
Inversion
Permutation
Algebra

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.

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

2011. 505-516 Paper presented at 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11, Reykjavik, Iceland.

Research output: Contribution to conferencePaper

Huang, J 2011, 'O-Hecke algebra actions on coinvariants and flags', Paper presented at 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11, Reykjavik, Iceland, 6/13/11 - 6/17/11 pp. 505-516.
Huang J. O-Hecke algebra actions on coinvariants and flags. 2011. Paper presented at 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11, Reykjavik, Iceland.
Huang, Jia. / O-Hecke algebra actions on coinvariants and flags. Paper presented at 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11, Reykjavik, Iceland.12 p.
@conference{2f3ec96b62c242988da91d53ddbaa5f9,
title = "O-Hecke algebra actions on coinvariants and flags",
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.",
keywords = "0-Hecke algebra, Demazure operator, Descent monomial, Ribbon number",
author = "Jia Huang",
year = "2011",
month = "12",
day = "1",
language = "English (US)",
pages = "505--516",
note = "23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 ; Conference date: 13-06-2011 Through 17-06-2011",

}

TY - CONF

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

UR - http://www.scopus.com/inward/record.url?scp=84860440299&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860440299&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84860440299

SP - 505

EP - 516

ER -