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  1. Home
  2. Indian Institute of Technology Madras
  3. Publication14
  4. Branching rules and commuting probabilities for Triangular and Unitriangular matrices
 
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Branching rules and commuting probabilities for Triangular and Unitriangular matrices

Date Issued
2022
Author(s)
Kaur, D
Sharma, UB
Singh, A
DOI
10.1142/S0219498822502310
Abstract
This paper concerns the enumeration of simultaneous conjugacy classes of k-tuples of commuting matrices in the upper triangular group T-n(F-q) and unitriangular group UTm(F-q) over the finite field F-q 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 cp(k) for k <= 5 in each case.
Volume
21
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