Jordan Form of (i+j over j) over Z[subscript p]

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Jordan Form of (i+j over j) over Z[subscript p]

Author: Strauss, Nicholas

Citable URI: http://hdl.handle.net/1721.1/41486

Publisher: MIT Artificial Intelligence Laboratory

Date Issued: 1985-07

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.

URI: http://hdl.handle.net/1721.1/41486

Series/Report no.: MIT Artificial Intelligence Laboratory Working Papers, WP-275

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