Jordan Form of (i+j over j) over Z[subscript p]
Name
AI_WP_275.pdf
Description
Main article
Size
229.35 KB
Format
Adobe PDF
Checksum (MD5)
10561bb50b2aa945a7eba35f29844f7d
Author(s)
Strauss, Nicholas
Date Issued
July 1985
Publisher
MIT Artificial Intelligence Laboratory
Series/Report no.
MIT Artificial Intelligence Laboratory Working Papers, WP-275
Abstract
The Jordan Form over field Z[subscript p] of J[superscript p][subscript p]n is diagonal for p > 3 with characteristic polynomial, ϕ(x) = x[superscript 3] - 1, for p prime, n natural number. These matrices have dimension p[superscript n] x p[superscript n], with entries (i+j over j). I prove these results with the method of generating functions.
Persistent DSpace Link