Semi-magic matrices for dihedral group
Time and place
1 PM on Thursday, June 11th, 2020;
Robert W. Donley, Jr (Queensborough Community College (CUNY))
Abstract
A semi-magic matrix is a square matrix with complex coefficients whose rows and columns have a common line sum. If the finite group G acts on a finite set X, then G may be represented by a subgroup of permutation matrices, which in turn generate an algebra of semi-magic matrices. In the case of dihedral groups, we apply character theory to recover the known counting formula for semi-magic matrices with fixed line sum and coefficients in the natural numbers.
