Descent monomials, $P$-partitions and dense Garsia-Haiman modules
Journal of Algebraic Combinatorics, Tome 20 (2004) no. 2, pp. 173-193.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A two-variable analogue of the descents monomials is defined and is shown to form a basis for the dense Garsia-Haiman modules. A two-variable generalization of a decomposition of a $P$-partition is shown to give the algorithm for the expansion into this descent basis. Some examples of dense Garsia-Haiman modules include the coinvariant rings associated with certain complex reflection groups.
Keywords: descent monomials, $P$-partitions, garsia-haiman modules, convariant rings
@article{JAC_2004__20_2_a3,
     author = {Allen, Edward E.},
     title = {Descent monomials, $P$-partitions and dense {Garsia-Haiman} modules},
     journal = {Journal of Algebraic Combinatorics},
     pages = {173--193},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2004__20_2_a3/}
}
TY  - JOUR
AU  - Allen, Edward E.
TI  - Descent monomials, $P$-partitions and dense Garsia-Haiman modules
JO  - Journal of Algebraic Combinatorics
PY  - 2004
SP  - 173
EP  - 193
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2004__20_2_a3/
LA  - en
ID  - JAC_2004__20_2_a3
ER  - 
%0 Journal Article
%A Allen, Edward E.
%T Descent monomials, $P$-partitions and dense Garsia-Haiman modules
%J Journal of Algebraic Combinatorics
%D 2004
%P 173-193
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2004__20_2_a3/
%G en
%F JAC_2004__20_2_a3
Allen, Edward E. Descent monomials, $P$-partitions and dense Garsia-Haiman modules. Journal of Algebraic Combinatorics, Tome 20 (2004) no. 2, pp. 173-193. http://geodesic.mathdoc.fr/item/JAC_2004__20_2_a3/