Descent Monomials, P-Partitions and Dense Garsia-Haiman Modules

Authors:
Edward E. Allen
Affiliations:
Department of Mathematics, Wake Forest University, Winston-Salem, NC 27109, USA. allene@wfu.edu
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2004

Citing 4
Cited 0

Enumerative combinatorics

Enumerative combinatorics
The Descent Monomials and a Basis for the Diagonally Symmetric Polynomials

Journal of Algebraic Combinatorics: An International Journal
The art of computer programming, volume 1 (3rd ed.): fundamental algorithms

The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
Some graded representations of the complex reflection groups

Journal of Combinatorial Theory Series A

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.