We approach the problem of obtaining branching rules from the point of view of dual
reductive pairs. Specifically, we obtain a stable branching rule for each of $10 $ classical …

An extension of the Littlewood Restriction Rule is given that covers all pertinent parameters
and simplifies to the original under Littlewood's hypotheses. Two formulas are derived for …

From a combinatorial point of view, we consider the earth mover's distance (EMD)
associated with a metric measure space. The specific case considered is deceptively simple …

In this mostly expository paper, a natural generalization of Young diagrams for Hermitian
symmetric spaces is used to give a concrete and uniform approach to a wide variety of …

Consider a symmetric pair $(G, K) $ of linear algebraic groups with $\mathfrak
{g}\cong\mathfrak {k}\oplus\mathfrak {p} $, where $\mathfrak {k} $ and $\mathfrak {p} $ are …

The coordinate rings of the classical determinantal varieties are each isomorphic to a
classical invariant ring by Weyl's fundamental theorems of invariant theory. Since these rings …