16 citations · 40 across the 9 of their papers we have counts for
4 papers · 1 filter
Signature quantization, representations of compact Lie groups, and a q-analogue of the Kostant partition function
Victor Guillemin, Etienne Rassart
We discuss some applications of signature quantization to the representation theory of compact Lie groups. In particular, we prove signature analogues of the Kostant formula for we…
A vector partition function for the multiplicities of sl_k(C)
Sara Billey, Victor Guillemin, Etienne Rassart
We use Gelfand-Tsetlin diagrams to write down the weight multiplicity function for the Lie algebra sl_k(C) (type A_{k-1}) as a single partition function. This allows us to apply kn…
How is a graph like a manifold?
Ethan Bolker, Victor Guillemin, Tara Holm
In this article, we discuss some classical problems in combinatorics which can be solved by exploiting analogues between graph theory and the theory of manifolds. One well-known ex…
Morse theory on graphs
Victor Guillemin, Catalin Zara
Let be a finite d-valent graph and G an n-dimensional torus. An ``action'' of G on is defined by a map, , which assigns to each oriented edge e of a one-dimensional…