Demystifying a Divisibility Property of the Kostant Partition Function
نویسنده
چکیده
In this note we study a family of identities regarding divisibility properties of Kostant partition functions which first appeared in a paper of Baldoni and Vergne. To prove the identities, Baldoni and Vergne used techniques of residues and called the resulting divisibility properties “mysterious.” We prove these identities entirely combinatorially and provide a natural explanation of why the divisibility occurs. We also point out several ways to generalize the identities.
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