Compressed straight tableaux and a distributive lattice of representations

摘要

A new "compressed straight" basis for the polynomial ring Z[t(i, j)] is constructed. This basis is then employed to study the lattice of representations generated by the representations associated with row-convex shapes under the operations of intersection and linear span. Applications to ascertaining the Cohen-Macaulay property for rings associated to elements of this lattice are also given. (C) 2000 Academic Press. [References: 30]