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20132021
most citedSimultaneous Similarity Classes of Commuting matrices over a finite field

6 citations · 15 across the 6 of their papers we have counts for

collaborators

7 papers

math.GR2021

Asymptotics of commuting probabilities in reductive algebraic groups

Shripad M. Garge, Uday Bhaskar Sharma, Anupam Singh

Let be an algebraic group. For , we define the commuting probabilities , where is the variety of c…

math.GR2020

Branching rules and commuting probabilities for Triangular and Unitriangular matrices

Dilpreet Kaur, Uday Bhaskar Sharma, Anupam Singh

This paper concerns the enumeration of simultaneous conjugacy classes of -tuples of commuting matrices in the upper triangular group and unitriangular group…

math.GR2020★ 3 cited

Commuting probability and simultaneous conjugacy classes of commuting tuples in a group

Uday Bhaskar Sharma, Anupam Singh

Let be a finite group. This expository article explores the subject of commuting probability in the group and its relation with simultaneous conjugacy classes of commuting…

math.GR2018★ 2 cited

Branching rules for Unitary and Symplectic matrices

Uday Bhaskar Sharma, Anupam Singh

This paper concerns the enumeration of simultaneous conjugacy classes of tuples of commuting unitary matrices and of commuting symplectic matrices over a finite field $\mathbf{F}_q…

math.CO2015★ 4 cited

Asymptotic of Number of Similarity Classes of Commuting Tuples

Uday Bhaskar Sharma

We have for positive integers , and finite field , , as the number of simultaneous similarity classes of -tuples of commuting matrices…

math.AC2014★ 6 cited

Simultaneous Similarity Classes of Commuting matrices over a finite field

Uday Bhaskar Sharma

This paper concerns the enumeration of isomorphism classes of modules of a polynomial algebra in several variables over a finite field. This is the same as the classification of co…

math.OC2013

A Computational Procedure for solving a Non-Convex Multi-Objective Quadratic Programming under Fuzzy Environment

Shashi Aggarwal, Uday Sharma

The purpose of this paper is to study a non-convex fuzzy multi-objective quadratic programming problem, in which both the technological coefficients and resources are fuzzy with no…