On Plane Partitions and n–Color Partitions

Abstract

The first chapter is devoted to preliminaries and provides introduction to plane partitions and n–color partitions. The second chapter elaborates the bijection between plane partitions and n– color partitions through Bender and Knuth matrices using which some basic results are proved. The third chapter includes some theorems which give a nice interaction between the plane partition and n–color partition. A relation between the rows of the plane partition and the subscripts of the n–color partition of any number ν is established in this chapter. Our results give a simpler way for finding the corresponding plane partition for a given n–color partition and vice–versa.