22 citations · 38 across the 16 of their papers we have counts for
16 papers
-type multiplicities in degenerate principal series via Howe duality
Mark Colarusso, William Q. Erickson, Andrew Frohmader +1
Let be one of the complex classical groups , , or . Let be the block diagonal embedding ${\rm O}_{k_1} \times \cdots \time…
Graphical methods and rings of invariants on the symmetric algebra
Rebecca Bourn, William Q. Erickson, Jeb F. Willenbring
Let be a complex classical group, and let be its defining representation (possibly plus a copy of the dual). A foundational problem in classical invariant theory is to writ…
Contingency tables and the generalized Littlewood-Richardson coefficients
Mark Colarusso, William Q. Erickson, Jeb F. Willenbring
The Littlewood-Richardson coefficients give the multiplicity of an irreducible polynomial -representation in the tensor product of polynomial represe…
Expected value of the one-dimensional Earth Mover's Distance
Rebecca Bourn, Jeb F. Willenbring
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: Let the…
Branching from the General Linear Group to the Symmetric Group and the Principal Embedding
Alexander Heaton, Songpon Sriwongsa, Jeb F. Willenbring
Let S be a principally embedded sl_2 subalgebra in sl_n for n > 2. A special case of results of the third author and Gregg Zuckerman implies that there exists a positive integer b(…
Lowest sl(2)-types in sl(n)-representations with respect to a principal embedding
Hassan Lhou, Jeb F. Willenbring
Fix n>2. Let s be a principally embedded sl(2)-subalgebra in sl(n). A special case of results of the second author and Gregg Zuckerman implies that there exists a positive integer…