| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4656089 | Journal of Combinatorial Theory, Series A | 2008 | 29 Pages |
Abstract
Garsia–Haiman modules C[Xn,Yn]/Iγ are quotient rings in the variables Xn={x1,x2,…,xn} and Yn={y1,y2,…,yn} that generalize the quotient ring C[Xn]/I, where I is the ideal generated by the elementary symmetric polynomials ej(Xn) for 1⩽j⩽n. A bitableau basis for the Garsia–Haiman modules of hollow type is constructed. Applications of this basis to representation theory and other related polynomial spaces are considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
