Jordan Form of (i+j over j) over Z[subscript p]
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...
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| Format: | Working Paper |
| Language: | en_US |
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MIT Artificial Intelligence Laboratory
2008
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| Online Access: | http://hdl.handle.net/1721.1/41486 |
| _version_ | 1811070655330779136 |
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| author | Strauss, Nicholas |
| author_facet | Strauss, Nicholas |
| author_sort | Strauss, Nicholas |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T08:39:29Z |
| format | Working Paper |
| id | mit-1721.1/41486 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:39:29Z |
| publishDate | 2008 |
| publisher | MIT Artificial Intelligence Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/414862019-04-09T19:01:52Z Jordan Form of (i+j over j) over Z[subscript p] Strauss, Nicholas 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. MIT Artificial Intelligence Laboratory 2008-04-28T14:36:38Z 2008-04-28T14:36:38Z 1985-07 Working Paper http://hdl.handle.net/1721.1/41486 en_US MIT Artificial Intelligence Laboratory Working Papers, WP-275 application/pdf MIT Artificial Intelligence Laboratory |
| spellingShingle | Strauss, Nicholas Jordan Form of (i+j over j) over Z[subscript p] |
| title | Jordan Form of (i+j over j) over Z[subscript p] |
| title_full | Jordan Form of (i+j over j) over Z[subscript p] |
| title_fullStr | Jordan Form of (i+j over j) over Z[subscript p] |
| title_full_unstemmed | Jordan Form of (i+j over j) over Z[subscript p] |
| title_short | Jordan Form of (i+j over j) over Z[subscript p] |
| title_sort | jordan form of i j over j over z subscript p |
| url | http://hdl.handle.net/1721.1/41486 |
| work_keys_str_mv | AT straussnicholas jordanformofijoverjoverzsubscriptp |