Note on Heisenberg Characters of Heisenberg Groups
An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite Heisenberg groups are computed.
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Accademia Piceno Aprutina dei Velati
2018-12-01
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| Series: | Ratio Mathematica |
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| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/429 |
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Article |
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doaj-91ca4600235f453294fa1c7ae2da08112020-11-24T21:54:48ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142018-12-0135010110910.23755/rm.v35i0.429410Note on Heisenberg Characters of Heisenberg GroupsAlieh Zolfi0Ali Reza Ashrafi1Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. IranDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. IranAn irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite Heisenberg groups are computed.http://eiris.it/ojs/index.php/ratiomathematica/article/view/429Heisenberg character, Heisenberg group |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alieh Zolfi Ali Reza Ashrafi |
| spellingShingle |
Alieh Zolfi Ali Reza Ashrafi Note on Heisenberg Characters of Heisenberg Groups Ratio Mathematica Heisenberg character, Heisenberg group |
| author_facet |
Alieh Zolfi Ali Reza Ashrafi |
| author_sort |
Alieh Zolfi |
| title |
Note on Heisenberg Characters of Heisenberg Groups |
| title_short |
Note on Heisenberg Characters of Heisenberg Groups |
| title_full |
Note on Heisenberg Characters of Heisenberg Groups |
| title_fullStr |
Note on Heisenberg Characters of Heisenberg Groups |
| title_full_unstemmed |
Note on Heisenberg Characters of Heisenberg Groups |
| title_sort |
note on heisenberg characters of heisenberg groups |
| publisher |
Accademia Piceno Aprutina dei Velati |
| series |
Ratio Mathematica |
| issn |
1592-7415 2282-8214 |
| publishDate |
2018-12-01 |
| description |
An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three
other types of infinite Heisenberg groups are computed. |
| topic |
Heisenberg character, Heisenberg group |
| url |
http://eiris.it/ojs/index.php/ratiomathematica/article/view/429 |
| work_keys_str_mv |
AT aliehzolfi noteonheisenbergcharactersofheisenberggroups AT alirezaashrafi noteonheisenbergcharactersofheisenberggroups |
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1725865642444193792 |