Alladi Ramakrishnan Hall
Asymptotic for Counting Similarity Classes of Tuples of Commuting Matrices
Uday Bhaskar Sharma
IMSc
Let c(n,k,q) be the number of similarity classes of commuting k-tuples of nxn matrices with entries in a finite field with q elements. We will show that c(n,k,q) is asymptotically q^(([n^2/4]+1)k) as a function of k.
Done