Descent Monomials, P-Partitions and Dense Garsia-Haiman Modules |
| |
Authors: | Edward E. Allen |
| |
Affiliation: | (1) Department of Mathematics, Wake Forest University, Winston-Salem, NC 27109, USA |
| |
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. |
| |
Keywords: | descent monomials P-partitions Garsia-Haiman modules convariant rings |
本文献已被 SpringerLink 等数据库收录! |