Semi-magic matrices for dihedral groups

Abstract: 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. Recall that a semi-magic matrix is a square matrix with complex coefficients whose rows and columns have a common line sum. 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.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2021)

Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.

Registration for the conference is free. Register at cant2021.eventbrite.com.

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The conference program, list of speakers, and abstracts are posted on the external website.