Branching rules and commuting probabilities for Triangular and Unitriangular matrices

dc.contributor.author	Kaur, Dilpreet	en_US
dc.contributor.author	Sharma, Uday Bhaskar	en_US
dc.contributor.author	SINGH, ANUPAM KUMAR	en_US
dc.date.accessioned	2022-04-04T08:56:45Z
dc.date.available	2022-04-04T08:56:45Z
dc.date.issued	2021-08	en_US
dc.identifier.citation	Journal of Algebra and Its Applications	en_US
dc.identifier.issn	0219-4988	en_US
dc.identifier.issn	1793-6829	en_US
dc.identifier.uri	https://doi.org/10.1142/S0219498822502310	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6714
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing	en_US
dc.subject	Triangular group	en_US
dc.subject	Unitriangular group	en_US
dc.subject	Commuting tuples of matrices	en_US
dc.subject	Branching rules	en_US
dc.subject	Commuting probability	en_US
dc.subject	2021	en_US
dc.title	Branching rules and commuting probabilities for Triangular and Unitriangular matrices	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra and Its Applications	en_US
dc.publication.originofpublisher	Foreign	en_US