A note on representations of the finite Heisenberggroup and sums of greatest common divisors
We review an elementary approach to the construction of all irreducible representations of the finite Heisenberg group. Determining the number of inequivalent classes of irreducible representations by different methods leads to an identity of sums involving greatest common divisors. We show how...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2001-12-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Online Access: | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/138 |
| _version_ | 1818484272025042944 |
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| author | Johannes Grassberger Günther Hörmann |
| author_facet | Johannes Grassberger Günther Hörmann |
| author_sort | Johannes Grassberger |
| collection | DOAJ |
| description | We review an elementary approach to the construction of all irreducible representations of the finite Heisenberg group. Determining the number of inequivalent classes of irreducible representations by different methods leads to an identity of sums involving greatest common divisors. We show how this identity can be generalized and derive an explicit formula for the sums. |
| first_indexed | 2024-12-10T15:52:56Z |
| format | Article |
| id | doaj.art-ebc2f87b83c34e819d2768b1a3e31344 |
| institution | Directory Open Access Journal |
| issn | 1462-7264 1365-8050 |
| language | English |
| last_indexed | 2024-12-10T15:52:56Z |
| publishDate | 2001-12-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-ebc2f87b83c34e819d2768b1a3e313442022-12-22T01:42:44ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1462-72641365-80502001-12-0142A note on representations of the finite Heisenberggroup and sums of greatest common divisorsJohannes GrassbergerGünther HörmannWe review an elementary approach to the construction of all irreducible representations of the finite Heisenberg group. Determining the number of inequivalent classes of irreducible representations by different methods leads to an identity of sums involving greatest common divisors. We show how this identity can be generalized and derive an explicit formula for the sums.http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/138 |
| spellingShingle | Johannes Grassberger Günther Hörmann A note on representations of the finite Heisenberggroup and sums of greatest common divisors Discrete Mathematics & Theoretical Computer Science |
| title | A note on representations of the finite Heisenberggroup and sums of greatest common divisors |
| title_full | A note on representations of the finite Heisenberggroup and sums of greatest common divisors |
| title_fullStr | A note on representations of the finite Heisenberggroup and sums of greatest common divisors |
| title_full_unstemmed | A note on representations of the finite Heisenberggroup and sums of greatest common divisors |
| title_short | A note on representations of the finite Heisenberggroup and sums of greatest common divisors |
| title_sort | note on representations of the finite heisenberggroup and sums of greatest common divisors |
| url | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/138 |
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