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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6714| Title: | Branching rules and commuting probabilities for Triangular and Unitriangular matrices |
| Authors: | Kaur, Dilpreet Sharma, Uday Bhaskar SINGH, ANUPAM KUMAR Dept. of Mathematics |
| Keywords: | Triangular group Unitriangular group Commuting tuples of matrices Branching rules Commuting probability 2021 |
| Issue Date: | Aug-2021 |
| Publisher: | World Scientific Publishing |
| Citation: | Journal of Algebra and Its Applications |
| Abstract: | This paper concerns the enumeration of simultaneous conjugacy classes of k-tuples of commuting matrices in the upper triangular group Tn(Fq) and unitriangular group UTm(Fq) over the finite field Fq of odd characteristic. This is done for n=2,3,4 and m=3,4,5, by computing the branching rules. Further, using the branching matrix thus computed, we explicitly get the commuting probabilities cpk for k≤5 in each case. |
| URI: | https://doi.org/10.1142/S0219498822502310 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6714 |
| ISSN: | 0219-4988 1793-6829 |
| Appears in Collections: | JOURNAL ARTICLES |
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