Research Highlights
Congratulations to Dr. Dilpreet Kaur for the acceptance of their research article in Journal of Algebra and its Applications
Title: Branching rules and commuting probabilities for Triangular and Unitriangular matrices
Authors: Dilpreet Kaur, Uday Bhaskar Sharma, and Anupem Singh
Journal: Journal of algebra and its applications
Year: August 2021 (Published Online) , Scheduled to publish in an issue of 2022.
Publisher: World Scientific
Abstract: This paper concerns the enumeration of simultaneous conjugacy classes of ktuples 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.
