The Standard Polynomial as an Identity on Symplectic Matrices

Download or read book The Standard Polynomial as an Identity on Symplectic Matrices written by Jay M. H. Adamsson and published by . This book was released on 1992 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: We choose a particular basis where each basis element can be represented on a graph of 2n points by a pair of labelled, directed edges. A pseudo-Eulerian path on this graph is defined as a path in which exactly one edge of each pair of edges is traversed exactly once. By counting the number of pseudo-Eulerian paths and assigning a value of $-$1 or +1 to each, the value of $S\sb{k}$ can be determined. (Abstract shortened by UMI.).